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

The solution to expand (x^2-4x+4)^2 is x^4-8x^3+24x^2-32x+16

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

expand

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

x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

x^{2} x^{2} + x^{2} (- 4 x) + x^{2} \cdot 4 - 4 x x^{2} - 4 x (- 4 x) - 4 x \cdot 4 + 4 x^{2} + 4 (- 4 x) + 4 \cdot 4 : x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16

= x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16

\frac{3}{8} \div 2

(- a + 1) (5 a + 6)

\frac{2}{6}

8 n^{3} - p^{3}

What is expand (x^2-4x+4)^2 ?
The solution to expand (x^2-4x+4)^2 is x^4-8x^3+24x^2-32x+16