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Popular >

expand 3x(x-6)^2

Solution

expand

3 x (x - 6)^{2}

Solution

3 x^{3} - 36 x^{2} + 108 x

Solution steps

3 x (x - 6)^{2}

Expand

(x - 6)^{2} : x^{2} - 12 x + 36

= 3 x (x^{2} - 12 x + 36)

Apply the distributive law:

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

3 x (x^{2} - 12 x + 36) = 3 x x^{2} + 3 x (- 12 x) + 3 x \cdot 36

= 3 x x^{2} + 3 x (- 12 x) + 3 x \cdot 36

Simplify

3 x x^{2} + 3 x (- 12 x) + 3 x \cdot 36 : 3 x^{3} - 36 x^{2} + 108 x

= 3 x^{3} - 36 x^{2} + 108 x

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Frequently Asked Questions (FAQ)

What is expand 3x(x-6)^2 ?
The solution to expand 3x(x-6)^2 is 3x^3-36x^2+108x