Solve x^2+(y-7)x-(y+6)(2y-1)=

$$x ^ { 2 } + ( y - 7 ) x - ( y + 6 ) ( 2 y - 1 ) =$$

Evaluate

$$\left(x-y-6\right)\left(x+2y-1\right)$$

Solution Steps

Use the distributive property to multiply y-7 by x.

$$x^{2}+yx-7x-\left(y+6\right)\left(2y-1\right)$$

Use the distributive property to multiply y+6 by 2y-1 and combine like terms.

$$x^{2}+yx-7x-\left(2y^{2}+11y-6\right)$$

To find the opposite of 2y^{2}+11y-6, find the opposite of each term.

$$x^{2}+yx-7x-2y^{2}-11y+6$$

Expand

$$x^{2}+xy-7x-2y^{2}-11y+6$$

Solution Steps

Use the distributive property to multiply y-7 by x.

$$x^{2}+yx-7x-\left(y+6\right)\left(2y-1\right)$$

Use the distributive property to multiply y+6 by 2y-1 and combine like terms.

$$x^{2}+yx-7x-\left(2y^{2}+11y-6\right)$$

To find the opposite of 2y^{2}+11y-6, find the opposite of each term.

$$x^{2}+yx-7x-2y^{2}-11y+6$$