Question

Which expression is the simplest form of 3(2x + y) + 4(x – 4y) + x2?x2 + 10x – 13y

Answer 1

Answer:

The simplest form of the given expression

$3(2x+y)+4(x-4y)+x^2$ is $x^2+10x-13y$

Step-by-step explanation:

Given expression is $3(2x+y)+4(x-4y)+x^2$

To find the simplest form of the given expression :

$3(2x+y)+4(x-4y)+x^2$  

$=6x+3y+4x-16y+x^2$  ( By using the distributive property )

$=6x+4x+3y-16y+x^2$  (combine the like terms )

$=10x-13y+x^2$ ( Adding the like terms )

Rewritting the above equation as below

$=x^2+10x-13y$

Therefore $3(2x+y)+4(x-4y)+x^2=x^2+10x-13y$

Therefore the simplest form of the given expression

$3(2x+y)+4(x-4y)+x^2$ is $x^2+10x-13y$