Solve x^2+(y+1)x-(2y+3)(y+2)

$$x ^ { 2 } + ( y + 1 ) x - ( 2 y + 3 ) ( y + 2 )$$

Evaluate

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

Solution Steps

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

$$x^{2}+yx+x-\left(2y+3\right)\left(y+2\right)$$

Use the distributive property to multiply 2y+3 by y+2 and combine like terms.

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

To find the opposite of 2y^{2}+7y+6, find the opposite of each term.

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

Expand

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

Solution Steps

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

$$x^{2}+yx+x-\left(2y+3\right)\left(y+2\right)$$

Use the distributive property to multiply 2y+3 by y+2 and combine like terms.

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

To find the opposite of 2y^{2}+7y+6, find the opposite of each term.

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