What is expand (a^2-2ab+b^2)(4a^2-b^2) ?

The solution to expand (a^2-2ab+b^2)(4a^2-b^2) is 4a^4-a^2b^2-8a^3b+2ab^3+4b^2a^2-b^4

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expand (a^2-2ab+b^2)(4a^2-b^2)

expand

(a^{2} - 2 ab + b^{2}) (4 a^{2} - b^{2})

4 a^{4} - a^{2} b^{2} - 8 a^{3} b + 2 a b^{3} + 4 b^{2} a^{2} - b^{4}

Solution steps

(a^{2} - 2 ab + b^{2}) (4 a^{2} - b^{2})

Distribute parentheses

= a^{2} \cdot 4 a^{2} + a^{2} (- b^{2}) - 2 ab \cdot 4 a^{2} - 2 ab (- b^{2}) + b^{2} \cdot 4 a^{2} + b^{2} (- b^{2})

Simplify

a^{2} \cdot 4 a^{2} + a^{2} (- b^{2}) - 2 ab \cdot 4 a^{2} - 2 ab (- b^{2}) + b^{2} \cdot 4 a^{2} + b^{2} (- b^{2}) : 4 a^{4} - a^{2} b^{2} - 8 a^{3} b + 2 a b^{3} + 4 b^{2} a^{2} - b^{4}

= 4 a^{4} - a^{2} b^{2} - 8 a^{3} b + 2 a b^{3} + 4 b^{2} a^{2} - b^{4}

x^{3} + 3 x^{2} - x

(\frac{3}{2})^{2} + (\frac{1}{2})^{2}

1 - \frac{4}{x ^{2}}

\frac{x ^{2} - y ^{2}}{x} \cdot \frac{x ^{2} + x y}{x + y}

7 - (- 7)

What is expand (a^2-2ab+b^2)(4a^2-b^2) ?
The solution to expand (a^2-2ab+b^2)(4a^2-b^2) is 4a^4-a^2b^2-8a^3b+2ab^3+4b^2a^2-b^4