Solve x^2-(y-1)x-(2y^2+11y+12)

$$x ^ { 2 } - ( y - 1 ) x - ( 2 y ^ { 2 } + 11 y + 12 )$$

Evaluate

$$\left(x-2y-3\right)\left(x+y+4\right)$$

Solution Steps

Use the distributive property to multiply y-1 by x.

$$x^{2}-\left(yx-x\right)-\left(2y^{2}+11y+12\right)$$

To find the opposite of yx-x, find the opposite of each term.

$$x^{2}-yx+x-\left(2y^{2}+11y+12\right)$$

To find the opposite of 2y^{2}+11y+12, find the opposite of each term.

$$x^{2}-yx+x-2y^{2}-11y-12$$

Expand

$$x^{2}-xy+x-2y^{2}-11y-12$$

Solution Steps

Use the distributive property to multiply y-1 by x.

$$x^{2}-\left(yx-x\right)-\left(2y^{2}+11y+12\right)$$

To find the opposite of yx-x, find the opposite of each term.

$$x^{2}-yx+x-\left(2y^{2}+11y+12\right)$$

To find the opposite of 2y^{2}+11y+12, find the opposite of each term.

$$x^{2}-yx+x-2y^{2}-11y-12$$