Solve 7(x+8)+(x+8)(x-8)=

$$7 ( x + 8 ) + ( x + 8 ) ( x - 8 ) =$$

Evaluate

$$\left(x-1\right)\left(x+8\right)$$

Solution Steps

Use the distributive property to multiply 7 by x+8.

$$7x+56+\left(x+8\right)\left(x-8\right)$$

Consider \left(x+8\right)\left(x-8\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$7x+56+x^{2}-8^{2}$$

Calculate 8 to the power of 2 and get 64.

$$7x+56+x^{2}-64$$

Subtract 64 from 56 to get -8.

$$7x-8+x^{2}$$

Expand

$$x^{2}+7x-8$$

Solution Steps

Use the distributive property to multiply 7 by x+8.

$$7x+56+\left(x+8\right)\left(x-8\right)$$

Consider \left(x+8\right)\left(x-8\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$7x+56+x^{2}-8^{2}$$

Calculate 8 to the power of 2 and get 64.

$$7x+56+x^{2}-64$$

Subtract 64 from 56 to get -8.

$$7x-8+x^{2}$$