What is expand (x^4-8x^2+16)^2 ?

The solution to expand (x^4-8x^2+16)^2 is x^8-16x^6+96x^4-256x^2+256

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expand (x^4-8x^2+16)^2

expand

(x^{4} - 8 x^{2} + 16)^{2}

x^{8} - 16 x^{6} + 96 x^{4} - 256 x^{2} + 256

Solution steps

(x^{4} - 8 x^{2} + 16)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x^{4} - 8 x^{2} + 16)^{2} = (x^{4} - 8 x^{2} + 16) (x^{4} - 8 x^{2} + 16)

= (x^{4} - 8 x^{2} + 16) (x^{4} - 8 x^{2} + 16)

Distribute parentheses

= x^{4} x^{4} + x^{4} (- 8 x^{2}) + x^{4} \cdot 16 - 8 x^{2} x^{4} - 8 x^{2} (- 8 x^{2}) - 8 x^{2} \cdot 16 + 16 x^{4} + 16 (- 8 x^{2}) + 16 \cdot 16

Simplify

x^{4} x^{4} + x^{4} (- 8 x^{2}) + x^{4} \cdot 16 - 8 x^{2} x^{4} - 8 x^{2} (- 8 x^{2}) - 8 x^{2} \cdot 16 + 16 x^{4} + 16 (- 8 x^{2}) + 16 \cdot 16 : x^{8} - 16 x^{6} + 96 x^{4} - 256 x^{2} + 256

= x^{8} - 16 x^{6} + 96 x^{4} - 256 x^{2} + 256

- x^{5} + 5 x^{3} - 4 x

4 x^{2} - 18 x - 10

(4 + 23) (4 - 23)

(2^{2} y^{3})^{5}

6 m^{2} + 23 m + 21

What is expand (x^4-8x^2+16)^2 ?
The solution to expand (x^4-8x^2+16)^2 is x^8-16x^6+96x^4-256x^2+256