Question

Find the product of (3x − 7y)2.
9x2 − 42xy + 49y2

9x2 + 42xy + 49y2

9x2 − 49y2

9x2 + 49y2

Answer 1

\(\Large \color{Midnightblue}{\rightarrow (a - b)^2 = a^2 - 2ab + b^2 }\)

Answer 2

This above thing is called an identity.

Answer 3

A thing to go by, right?

Answer 4

Yes, this is basically a general formula that applies to all numbers.

Answer 5

So, it would be, 9x^2 - 42 + 49.

Answer 6

9x^2 - 42xy + 49. If this was a mistake, then yes.

Answer 7

Why would it be 9x^2 - 42xy + 49y^2?

Answer 8

Yes!

Answer 9

okay, so.. Find the product of (4x + 3y)(4x − 3y).

Answer 10

^^ \((a + b)(a - b) = a^2 - b^2 \)

Answer 11

Just give me the formula and I can go by it.

Answer 12

16x^2 - 9y^2??

Answer 13

Okay, what all formulae?

Answer 14

\(\Large \color{Midnightblue}{\rightarrow a^2 - b^2 = (a + b)(a - b) }\)

Answer 15

Formulas are things to go by, like an identify. I call them formulas. The only problem I see and know that I have, is that; I don't know which formula to go by for each problem? you know what I'm saying?

Answer 16

16x^2 - 9y^2??

Answer 17

I know what formula is!

Answer 18

Why are you yelling at me?

Answer 19

I know I'm dumb, but dang.

Answer 20

\(\Large \color{Midnightblue}{\rightarrow 16x^2 - 9y^2 = (4x + 3y)(4x - 3y) }\)

Answer 21

@careless850 All learners are lol, but when you get the concepts, then it is a piece of cake.

Answer 22

I know. Like this one Find the product of (x + 3)2. we just did one just like it, but I already forgot what formula to go by..

Answer 23

Find the product of (x + 3)^2.

Answer 24

Okay,
\(\Large \color{Midnightblue}{\rightarrow 1) (a \pm b)^2 = a^2 \pm 2ab + b^2 }\)

Answer 25

Should I write them down?

Answer 26

\(\Large \color{Midnightblue}{\rightarrow 2) a^2 - b^2 = (a + b)(a - b) }\)

Answer 27

If you want to.

Answer 28

ALright..

Answer 29

\(\Large \color{Midnightblue}{\rightarrow (a + b)^3 = a^3 + b^3 + 3ab^2 + 3a^2b}\)

Answer 30

So, on that problem the answer is, x^2 + 6x + 9?

Answer 31

It is.

Answer 32

Find the product of (3x + 7y)2.

Answer 33

I would use... 1.

Answer 34

Sure!

Answer 35

Right.

Answer 36

So, 9x^2 + 42 + 49y^2?

Answer 37

Why do I have to put 42xy?

Answer 38

THAT I don't understand..

Answer 39

What is \(2(3x)(7y)\)?

Answer 40

The answer is 9x^2 + 42xy + 49y^2.

Answer 41

Yes.

Answer 42

42xy.

Answer 43

Then? :P

Answer 44

hmm...

Answer 45

The product of (a + b)(a − b) is a2 − b2.

Answer 46

Yes.

Answer 47

The product of (a + b)(a − b) is a^2 − b^2. is The product of (a + b)(a − b) is a2 − b2.

Sometimes

Always

Never

Answer 48

Omg.

Answer 49

Always!

Answer 50

The product of (a + b)(a − b) is a^2 − b^2.

Sometimes

Always

Never

Answer 51

Identity works for each and every number.

Answer 52

Hmm..
Okay. So, Find the two products below. Compare and contrast, in complete sentences, the similarities and differences of the two.

(x + 4)(x − 4) and (x + 4)(x + 4)

Answer 53

@ParthKohli

Answer 54

(x + 4)(x - 4) = x^2 - 16

(x + 4)(x + 4) = (x + 4)^2

Answer 55

Okay. Compare and contrast, in complete sentences, the similarities and differences of the two.

Answer 56

I don't know, can you do that please?

Answer 57

Yes.