What is expand b(a+b)(a-b) ?

The solution to expand b(a+b)(a-b) is ba^2-b^3

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expand b(a+b)(a-b)

expand

b (a + b) (a - b)

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

Solution steps

b (a + b) (a - b)

Apply Difference of Two Squares

(a + b) (a - b) : a^{2} - b^{2}

= b (a^{2} - b^{2})

Apply the distributive law:

a (b - c) = ab - a c

b (a^{2} - b^{2}) = b a^{2} - b b^{2}

= b a^{2} - b b^{2}

Simplify

- b b^{2} : - b^{3}

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

(1 - u^{2})^{2}

(3 a + 2 b - c) + (2 a + 3 b + c)

(x - 4) (x + 9)

3 ln (e^{4})

- 5^{- 3}