Question

e) (15 - 9x – 21y + 8yz – 4x²y + 7y2x) – (3x²y – 6yx + 4xy? – 8y + 5x – 11)​

Answer 1

Answer:

$\Large\boxed{16xy+8yz-7x^2y-13y+26-14x}$

Step-by-step explanation:

Given:

15 - 9x – 21y + 8yz – 4x²y + 7y2x) – (3x²y – 6yx + 4xy? – 8y + 5x – 11)​

To solve this problem, first you have to use distributive property from left to right numbers.

Solutions:

First, you have to remove parenthesis.

$\displaystyle 15-9x-21y+8yz-4x^2y+7y*2x-(3x^2y-6yx+4xy-8y+5x-11)$

Solve.

Multiply the numbers from left to right.

$\displaystyle 2*7=14$

Rewrite the problem down.

$\displaystyle 15-9x-21y+8yz-4x^2y+14xy-(3x^2y+4xy+5x-6xy-8y-11)$

Then, you add the numbers from left to right.

Add similar elements to from left to right numbers.

$\displaystyle -6+4=-2$

$\displaystyle 15-9x-21y+8yz-4x^2y+14xy-(3x^2y+5x-2xy-8y-11)$

$\displaystyle 15-9x-21y+8yz-4x^2y+14xy-(3x^2y-2xy-8y+5x-11)$

Solve.

$\displaystyle -(3x^2y-2xy-8y+5x-11)$

Solve/simplify with parenthesis.

$\displaystyle -(3x^2y)-(-2xy)-(-8y)-(5x)-(-11)$

$\displaystyle -3x^2y+2xy+8y-5x+11$

Rewrite the problem down.

$\displaystyle 15-9x-21y+8yz-4x^2y+14yx-3x^2y+2xy+8y-5x+11$

Solve. (Simplify/refine.)

Combine like terms. (Group like terms and switch sides.)

$\displaystyle 4x^2y-3x^2y+14xy+2xy+8yz-21y+8y-9x-5x+15+11$

Add numbers from left to right.

$\displaystyle -4x^2y-3x^2y=-7x^2y$

$\displaystyle -7x^2y+14xy+2xy+8yz-21y+8y-9x-5x+15+11$

$\displaystyle -9-5=-14$

$\displaystyle -7x^2y+14xy+2xy+8yz-21y+8y-14x+15+11$

Add similar elements to numbers from left to right.

$\displaystyle 14xy+2xy=16xy$

$\displaystyle -7x^2y+16xy+8yz-21y+8y-14x+15+11$

$\displaystyle -21y+8y=-13y$

$\displaystyle -7x^2y+16xy+8yz-13y-14x+15+11$

Solve.

Add numbers from left to right.

$\displaystyle 15+11=26$

$\Large\boxed{16xy+8yz-7x^2y-13y+26-14x}$

As a result, the correct answer is 16xy+8yz-7x²y-13y+26-14x.