Solve 8b^2+(9b^2+2a)+(2a^2-2a+b^2)

$$8 b ^ { 2 } + ( 9 b ^ { 2 } + 2 a ) + ( 2 a ^ { 2 } - 2 a + b ^ { 2 } )$$

Evaluate

$$2\left(a^{2}+9b^{2}\right)$$

Solution Steps

Combine 8b^{2} and 9b^{2} to get 17b^{2}.

$$17b^{2}+2a+2a^{2}-2a+b^{2}$$

Combine 2a and -2a to get 0.

$$17b^{2}+2a^{2}+b^{2}$$

Combine 17b^{2} and b^{2} to get 18b^{2}.

$$18b^{2}+2a^{2}$$

Factor

$$2\left(a^{2}+9b^{2}\right)$$

Solution Steps

Multiply and combine like terms.

$$2a^{2}+18b^{2}$$

Factor out 2.

$$2\left(a^{2}+9b^{2}\right)$$