Solve (x-6)(x+6)(x^2+36)

$$( x - 6 ) ( x + 6 ) ( x ^ { 2 } + 36 )$$

Evaluate

$$x^{4}-1296$$

Solution Steps

Use the distributive property to multiply x-6 by x+6 and combine like terms.

$$\left(x^{2}-36\right)\left(x^{2}+36\right)$$

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 36.

$$\left(x^{2}\right)^{2}-1296$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$x^{4}-1296$$

Expand

$$x^{4}-1296$$

Solution Steps

Use the distributive property to multiply x-6 by x+6 and combine like terms.

$$\left(x^{2}-36\right)\left(x^{2}+36\right)$$

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 36.

$$\left(x^{2}\right)^{2}-1296$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$x^{4}-1296$$