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Popular >

expand x(x-3)^2

Solution

expand

x (x - 3)^{2}

Solution

x^{3} - 6 x^{2} + 9 x

Solution steps

x (x - 3)^{2}

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= x (x^{2} - 6 x + 9)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

x (x^{2} - 6 x + 9) = x x^{2} + x (- 6 x) + x \cdot 9

= x x^{2} + x (- 6 x) + x \cdot 9

Simplify

x x^{2} + x (- 6 x) + x \cdot 9 : x^{3} - 6 x^{2} + 9 x

= x^{3} - 6 x^{2} + 9 x

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Frequently Asked Questions (FAQ)

What is expand x(x-3)^2 ?
The solution to expand x(x-3)^2 is x^3-6x^2+9x