What is expand (a+b)(a^4-a^3b+a^2b^2-ab^3+b^4) ?

The solution to expand (a+b)(a^4-a^3b+a^2b^2-ab^3+b^4) is a^5+a^3b^2-a^2b^3-b^2a^3+b^3a^2+b^5

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expand (a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)

expand

(a + b) (a^{4} - a^{3} b + a^{2} b^{2} - a b^{3} + b^{4})

a^{5} + a^{3} b^{2} - a^{2} b^{3} - b^{2} a^{3} + b^{3} a^{2} + b^{5}

Solution steps

(a + b) (a^{4} - a^{3} b + a^{2} b^{2} - a b^{3} + b^{4})

Distribute parentheses

= a a^{4} + a (- a^{3} b) + a a^{2} b^{2} + a (- a b^{3}) + a b^{4} + b a^{4} + b (- a^{3} b) + b a^{2} b^{2} + b (- a b^{3}) + b b^{4}

Simplify

a a^{4} + a (- a^{3} b) + a a^{2} b^{2} + a (- a b^{3}) + a b^{4} + b a^{4} + b (- a^{3} b) + b a^{2} b^{2} + b (- a b^{3}) + b b^{4} : a^{5} + a^{3} b^{2} - a^{2} b^{3} - b^{2} a^{3} + b^{3} a^{2} + b^{5}

= a^{5} + a^{3} b^{2} - a^{2} b^{3} - b^{2} a^{3} + b^{3} a^{2} + b^{5}

\frac{\frac{x ^{2} - 2 x - 3}{x ^{3}}}{\frac{x ^{2} - 6 x - 7}{x}}

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

x (x + 1) (x + 2) (x + 3) + 1

\frac{3}{8} \cdot \frac{1}{2}

(13 + - 180) (6 + - 180)

What is expand (a+b)(a^4-a^3b+a^2b^2-ab^3+b^4) ?
The solution to expand (a+b)(a^4-a^3b+a^2b^2-ab^3+b^4) is a^5+a^3b^2-a^2b^3-b^2a^3+b^3a^2+b^5