Solve 2x(x-6)^2 | Microsoft Math Solver

Type a math problem

Expand

2 x^{3} - 24 x^{2} + 72 x

Solution Steps

2 x (x - 6)^{2}

Use binomial theorem

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

to expand

(x - 6)^{2}

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

Use the distributive property to multiply

2 x

x^{2} - 12 x + 36

2 x^{3} - 24 x^{2} + 72 x

Evaluate

2 x (x - 6)^{2}

Solution Steps

2 x (x - 6)^{2}

Use binomial theorem

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

to expand

(x - 6)^{2}

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

Use the distributive property to multiply

2 x

x^{2} - 12 x + 36

2 x^{3} - 24 x^{2} + 72 x

Graph

Quiz

2 x (x - 6)^{2}

Similar Problems from Web Search

(x - 6)^{2} = 25

x = 1

x = 11

(x - 6)^{2} = 25

(x - 6)^{2} - 5^{2} = 0

(x - 6)^{2} = 7

x (x - 6)^{2} = 0

(7 x - 6)^{2} = 6

(x - 6)^{2} = 19

x = 6 + 19, 6 - 19

(x - 6)^{2} = 19

x - 6 = \pm 19

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2x\left(x^{2}-12x+36\right)

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.

2x^{3}-24x^{2}+72x

Use the distributive property to multiply 2x by x^{2}-12x+36.

2x\left(x^{2}-12x+36\right)

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.

2x^{3}-24x^{2}+72x

Use the distributive property to multiply 2x by x^{2}-12x+36.