Solve 1x^2+(5y+1)x+(2y-1)(3y+2)

$$1 x ^ { 2 } + ( 5 y + 1 ) x + ( 2 y - 1 ) ( 3 y + 2 )$$

Evaluate

$$\left(x+2y-1\right)\left(x+3y+2\right)$$

Solution Steps

Use the distributive property to multiply 5y+1 by x.

$$1x^{2}+5yx+x+\left(2y-1\right)\left(3y+2\right)$$

Use the distributive property to multiply 2y-1 by 3y+2 and combine like terms.

$$1x^{2}+5yx+x+6y^{2}+y-2$$

For any term t, t\times 1=t and 1t=t.

$$x^{2}+5yx+x+6y^{2}+y-2$$

Expand

$$x^{2}+5xy+x+6y^{2}+y-2$$

Solution Steps

Use the distributive property to multiply 5y+1 by x.

$$1x^{2}+5yx+x+\left(2y-1\right)\left(3y+2\right)$$

Use the distributive property to multiply 2y-1 by 3y+2 and combine like terms.

$$1x^{2}+5yx+x+6y^{2}+y-2$$

For any term t, t\times 1=t and 1t=t.

$$x^{2}+5yx+x+6y^{2}+y-2$$