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

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

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

expand

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

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

Solution steps

(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^{2} + 16

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

\frac{2 3 a}{10 a}

\frac{4}{7} - \frac{3}{5}

\frac{- 1 + 7}{2}

x^{- 2} y^{2}

5 a (- 3 a + 13)

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