Solve =4y^2:9+(2y+3)(y-5)

$$= 4 y ^ { 2 } : 9 + ( 2 y + 3 ) ( y - 5 )$$

Evaluate

$$\frac{22y^{2}}{9}-7y-15$$

Short Solution Steps

Use the distributive property to multiply 2y+3 by y-5 and combine like terms.

$$\frac{4y^{2}}{9}+2y^{2}-7y-15$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2y^{2}-7y-15 times \frac{9}{9}.

$$\frac{4y^{2}}{9}+\frac{9\left(2y^{2}-7y-15\right)}{9}$$

Since \frac{4y^{2}}{9} and \frac{9\left(2y^{2}-7y-15\right)}{9} have the same denominator, add them by adding their numerators.

$$\frac{4y^{2}+9\left(2y^{2}-7y-15\right)}{9}$$

Do the multiplications in 4y^{2}+9\left(2y^{2}-7y-15\right).

$$\frac{4y^{2}+18y^{2}-63y-135}{9}$$

Combine like terms in 4y^{2}+18y^{2}-63y-135.

$$\frac{22y^{2}-63y-135}{9}$$

Expand

$$\frac{22y^{2}}{9}-7y-15$$

Short Solution Steps

Use the distributive property to multiply 2y+3 by y-5 and combine like terms.

$$\frac{4y^{2}}{9}+2y^{2}-7y-15$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2y^{2}-7y-15 times \frac{9}{9}.

$$\frac{4y^{2}}{9}+\frac{9\left(2y^{2}-7y-15\right)}{9}$$

Since \frac{4y^{2}}{9} and \frac{9\left(2y^{2}-7y-15\right)}{9} have the same denominator, add them by adding their numerators.

$$\frac{4y^{2}+9\left(2y^{2}-7y-15\right)}{9}$$

Do the multiplications in 4y^{2}+9\left(2y^{2}-7y-15\right).

$$\frac{4y^{2}+18y^{2}-63y-135}{9}$$

Combine like terms in 4y^{2}+18y^{2}-63y-135.

$$\frac{22y^{2}-63y-135}{9}$$