Question

Combine the like terms to simplify the expression:

10xy2 + 5x – 4y3 + 6 – x + 5x2y + 6xy2 – 2
A.

10xy2 + 5x2y – 4xy3 + 4
B.

21xy2 + 4x – 4y3 + 4
C.

16xy2 + 5x2y + 4x – 4y3 + 4
D.

16xy2 + 5x2y + 4

Answer 1

@iambatman

Answer 2

will fan and medal

Answer 3

For example:
\[10x^2+5x+3x^2-2x \implies 13x^2+3x\]

Answer 4

Do the same here, try it out, and see what you get.

Answer 5

Don't let the variables scare you :).

Answer 6

C?

Answer 7

Mhm lets write it out on LaTeX to make it clear.\[10xy^2+5x-4y^3+6-x+5x^2y+6xy^2-2\]

Answer 8

\[10\color{red}{xy^2}+5x-4y^3+6-x+5x^2y+6\color{red}{xy^2}-2\] lets do this first, what do we get when we add these terms?

Answer 9

136 xy?

Answer 10

I'm not sure what you did there, we're looking at the terms coloured in red.

Answer 11

\[10xy^2+6xy^2 =?\]

Answer 12

you just have to add coefficient of same variable and same exponent

Answer 13

\(10xy^2 + 5x - 4y^3 + 6 - x + 5x^2y + 6xy^2 - 2\)

Combine \(10xy^2\) and \(6xy^2\):

\(16xy^2 + 5x - 4y^3 + 6 - x + 5x^2y - 2\)

Simplify \(5x - x\):

\(16xy^2 + 4x - 4y^3 + 6 + 5x^2y - 2\)

Simplify 6 - 2:

\(16xy^2 + 4x - 4y^3 + 4 + 5x^2y\)

Rearrange in order of highest exponents to lowest:

\(16xy^2 + 5x^2y - 4y^3 + 4x + 4~\Large\color{lime} \checkmark\)

Answer 14

Your answer is correct :)

Answer 15

Or you can give answers, too many people answering questions, I'm out.

Answer 16

@iambatman I was just checking her answer.

Answer 17

for example
both number have y and both y have 2
both have x and both x have 1 exponent so they are same now just
add 10 +6 = ??xy^2
lke iambatman said