Question

Simplify the following expression.

(43x + 62y) + (34x - 25y)

A.77x + 87y

B.105x + 87y

C.105x + 37y

D.77x + 37y

Answer 1

(43x+62y)+(34x-25y)=
43x+62y+34x-25y=
43x+34x+62y-25y=
77x+37y
The answer is D.

Answer 2

`(43x+62y)+(34x-25y)\ \ \ \ |use\ Commutative\ and\ Associative\ property\\\\=(43x+34x)+(62y-25y)\\\\=\boxed{77x+37y\to\boxed{D}}`


`Commutative\ property:a+b=b+a\\\\Associative\ property:(a+b)+c=a+(b+c)`