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Popular >

simplify (x+2)^3-2(4x^2+6x)+2x^2

Solution

simplify

(x + 2)^{3} - 2 (4 x^{2} + 6 x) + 2 x^{2}

Solution

x^{3} + 8

Solution steps

(x + 2)^{3} - 2 (4 x^{2} + 6 x) + 2 x^{2}

Expand

(x + 2)^{3} : x^{3} + 6 x^{2} + 12 x + 8

= x^{3} + 6 x^{2} + 12 x + 8 - 2 (4 x^{2} + 6 x) + 2 x^{2}

Expand

- 2 (4 x^{2} + 6 x) : - 8 x^{2} - 12 x

= x^{3} + 6 x^{2} + 12 x + 8 - 8 x^{2} - 12 x + 2 x^{2}

Group like terms

= x^{3} + 6 x^{2} - 8 x^{2} + 2 x^{2} + 12 x - 12 x + 8

Add similar elements:

6 x^{2} - 8 x^{2} + 2 x^{2} = 0

= x^{3} + 12 x - 12 x + 8

Add similar elements:

12 x - 12 x = 0

= x^{3} + 8

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Frequently Asked Questions (FAQ)

What is (x+2)^3-2(4x^2+6x)+2x^2 ?
The solution to (x+2)^3-2(4x^2+6x)+2x^2 is x^3+8