Question

Simplify (2p+q) (p-2q+3r) - (p-3q) (-3p+q-2r)

Answer 1

Do you know the first step ?

Answer 2

Hint: you need to separate the variables, and add or subtract

Answer 3

Simplify (2p+q) (p-2q+3r) - (p-3q) (-3p+q-2r) Solution: (2p + q) (p - 2q + 3r) - (p-3q) (-3p + q - 2r) → 2p (p - 2q + 3r) + q(p - 2q + 3r) - p(-3p + q - 2r) + 3q (-3p + q - 2r) → 2p² - 4pq + 6rp + pq - 2q² + 3qr + 3p² - pq + 2rp - 9qp + 3q² - 6qr → 2p² + 3p² - 2q² + 3q² - 4pq + pq - pq - 9pq + 3qr - 6qr + 6rp + 2rp → 5p² + q² - 13pq - 3qr + 8rp

Answer 4

i am not that freaking smart

Answer 5

\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
Simplify (2p+q) (p-2q+3r) - (p-3q) (-3p+q-2r)
Solution: (2p + q) (p - 2q + 3r) - (p-3q) (-3p + q - 2r)
→ 2p (p - 2q + 3r) + q(p - 2q + 3r) - p(-3p + q - 2r) + 3q (-3p + q - 2r)
→ 2p² - 4pq + 6rp + pq - 2q² + 3qr + 3p² - pq + 2rp - 9qp + 3q² - 6qr
→ 2p² + 3p² - 2q² + 3q² - 4pq + pq - pq - 9pq + 3qr - 6qr + 6rp + 2rp
→ 5p² + q² - 13pq - 3qr + 8rp
\(\color{#0cbb34}{\text{End of Quote}}\)
since you're new here, direct answers aren't allowed... you need to lead people, not tell them the answer

Answer 6

\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
Simplify (2p+q) (p-2q+3r) - (p-3q) (-3p+q-2r)
Solution: (2p + q) (p - 2q + 3r) - (p-3q) (-3p + q - 2r)
→ 2p (p - 2q + 3r) + q(p - 2q + 3r) - p(-3p + q - 2r) + 3q (-3p + q - 2r)
→ 2p² - 4pq + 6rp + pq - 2q² + 3qr + 3p² - pq + 2rp - 9qp + 3q² - 6qr
→ 2p² + 3p² - 2q² + 3q² - 4pq + pq - pq - 9pq + 3qr - 6qr + 6rp + 2rp
→ 5p² + q² - 13pq - 3qr + 8rp
\(\color{#0cbb34}{\text{End of Quote}}\)
since you're new here, direct answers aren't allowed... you need to lead people, not tell them the answer
\(\color{#0cbb34}{\text{End of Quote}}\)
Ohh Im sorry and it's not a direct answer i explained it very well

Answer 7

\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
Simplify (2p+q) (p-2q+3r) - (p-3q) (-3p+q-2r)
Solution: (2p + q) (p - 2q + 3r) - (p-3q) (-3p + q - 2r)
→ 2p (p - 2q + 3r) + q(p - 2q + 3r) - p(-3p + q - 2r) + 3q (-3p + q - 2r)
→ 2p² - 4pq + 6rp + pq - 2q² + 3qr + 3p² - pq + 2rp - 9qp + 3q² - 6qr
→ 2p² + 3p² - 2q² + 3q² - 4pq + pq - pq - 9pq + 3qr - 6qr + 6rp + 2rp
→ 5p² + q² - 13pq - 3qr + 8rp
\(\color{#0cbb34}{\text{End of Quote}}\)
since you're new here, direct answers aren't allowed... you need to lead people, not tell them the answer
\(\color{#0cbb34}{\text{End of Quote}}\)
Ohh Im sorry and it's not a direct answer i explained it very well
\(\color{#0cbb34}{\text{End of Quote}}\)
it is a direct answer, because you DIRECTLY gave them the answer.

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
Simplify (2p+q) (p-2q+3r) - (p-3q) (-3p+q-2r)
Solution: (2p + q) (p - 2q + 3r) - (p-3q) (-3p + q - 2r)
→ 2p (p - 2q + 3r) + q(p - 2q + 3r) - p(-3p + q - 2r) + 3q (-3p + q - 2r)
→ 2p² - 4pq + 6rp + pq - 2q² + 3qr + 3p² - pq + 2rp - 9qp + 3q² - 6qr
→ 2p² + 3p² - 2q² + 3q² - 4pq + pq - pq - 9pq + 3qr - 6qr + 6rp + 2rp
→ 5p² + q² - 13pq - 3qr + 8rp
\(\color{#0cbb34}{\text{End of Quote}}\)
since you're new here, direct answers aren't allowed... you need to lead people, not tell them the answer
\(\color{#0cbb34}{\text{End of Quote}}\)
Ohh Im sorry and it's not a direct answer i explained it very well
\(\color{#0cbb34}{\text{End of Quote}}\)
it is a direct answer, because you DIRECTLY gave them the answer.
\(\color{#0cbb34}{\text{End of Quote}}\)
They asked for it so i gave

Answer 9

\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
Simplify (2p+q) (p-2q+3r) - (p-3q) (-3p+q-2r)
Solution: (2p + q) (p - 2q + 3r) - (p-3q) (-3p + q - 2r)
→ 2p (p - 2q + 3r) + q(p - 2q + 3r) - p(-3p + q - 2r) + 3q (-3p + q - 2r)
→ 2p² - 4pq + 6rp + pq - 2q² + 3qr + 3p² - pq + 2rp - 9qp + 3q² - 6qr
→ 2p² + 3p² - 2q² + 3q² - 4pq + pq - pq - 9pq + 3qr - 6qr + 6rp + 2rp
→ 5p² + q² - 13pq - 3qr + 8rp
\(\color{#0cbb34}{\text{End of Quote}}\)
since you're new here, direct answers aren't allowed... you need to lead people, not tell them the answer
\(\color{#0cbb34}{\text{End of Quote}}\)
Ohh Im sorry and it's not a direct answer i explained it very well
\(\color{#0cbb34}{\text{End of Quote}}\)
it is a direct answer, because you DIRECTLY gave them the answer.
\(\color{#0cbb34}{\text{End of Quote}}\)
They asked for it so i gave
\(\color{#0cbb34}{\text{End of Quote}}\)
it's against the rules.

Answer 10

\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MysticalDimpless
Simplify (2p+q) (p-2q+3r) - (p-3q) (-3p+q-2r)
Solution: (2p + q) (p - 2q + 3r) - (p-3q) (-3p + q - 2r)
→ 2p (p - 2q + 3r) + q(p - 2q + 3r) - p(-3p + q - 2r) + 3q (-3p + q - 2r)
→ 2p² - 4pq + 6rp + pq - 2q² + 3qr + 3p² - pq + 2rp - 9qp + 3q² - 6qr
→ 2p² + 3p² - 2q² + 3q² - 4pq + pq - pq - 9pq + 3qr - 6qr + 6rp + 2rp
→ 5p² + q² - 13pq - 3qr + 8rp
\(\color{#0cbb34}{\text{End of Quote}}\)
since you're new here, direct answers aren't allowed... you need to lead people, not tell them the answer
\(\color{#0cbb34}{\text{End of Quote}}\)
Ohh Im sorry and it's not a direct answer i explained it very well
\(\color{#0cbb34}{\text{End of Quote}}\)
it is a direct answer, because you DIRECTLY gave them the answer.
\(\color{#0cbb34}{\text{End of Quote}}\)
They asked for it so i gave
\(\color{#0cbb34}{\text{End of Quote}}\)
it's against the rules.
\(\color{#0cbb34}{\text{End of Quote}}\)
Oh im srry

Answer 11

Prove:16cos12.cos24.cos48.cos84=1