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Popular >

expand (a-x)^3

Solution

expand

(a - x)^{3}

Solution

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

Solution steps

(a - x)^{3}

Apply Perfect Cube Formula:

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

(a - x)^{3} = a^{3} - 3 a^{2} x + 3 a x^{2} - x^{3}

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

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

Popular Examples

simplify 4x^2+x^2 simplify

4 x^{2} + x^{2}

simplify (x^3-27)/(x^2-9)simplify

\frac{x ^{3} - 27}{x ^{2} - 9}

simplify (x^2+x-2)/(x^3-x^2-x+1)simplify

\frac{x ^{2} + x - 2}{x ^{3} - x ^{2} - x + 1}

49 \div 7

simplify (-10-4i)-(6+9i)simplify

(- 10 - 4 i) - (6 + 9 i)

Frequently Asked Questions (FAQ)

What is expand (a-x)^3 ?
The solution to expand (a-x)^3 is a^3-3xa^2+3ax^2-x^3