Solve (5a-b)(5b+a)-(a-5b^2)=

$$( 5 a - b ) ( 5 b + a ) - ( a - 5 b ^ { 2 } ) =$$

Evaluate

$$a\left(5a+24b-1\right)$$

Solution Steps

Use the distributive property to multiply 5a-b by 5b+a and combine like terms.

$$24ab+5a^{2}-5b^{2}-\left(a-5b^{2}\right)$$

To find the opposite of a-5b^{2}, find the opposite of each term.

$$24ab+5a^{2}-5b^{2}-a+5b^{2}$$

Combine -5b^{2} and 5b^{2} to get 0.

$$24ab+5a^{2}-a$$

Expand

$$5a^{2}+24ab-a$$

Solution Steps

Use the distributive property to multiply 5a-b by 5b+a and combine like terms.

$$24ab+5a^{2}-5b^{2}-\left(a-5b^{2}\right)$$

To find the opposite of a-5b^{2}, find the opposite of each term.

$$24ab+5a^{2}-5b^{2}-a+5b^{2}$$

Combine -5b^{2} and 5b^{2} to get 0.

$$24ab+5a^{2}-a$$