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Popular >

expand ((2+x)^2)^2

Solution

expand

((2 + x)^{2})^{2}

Solution

x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16

Solution steps

((2 + x)^{2})^{2}

(2 + x)^{2} = 4 + 4 x + x^{2}

= (4 + 4 x + x^{2})^{2}

(4 + 4 x + x^{2})^{2} = (4 + 4 x + x^{2}) (4 + 4 x + x^{2})

= (x^{2} + 4 x + 4) (x^{2} + 4 x + 4)

Expand

(4 + 4 x + x^{2}) (4 + 4 x + x^{2}) : x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16

= x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16

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Frequently Asked Questions (FAQ)

What is expand ((2+x)^2)^2 ?
The solution to expand ((2+x)^2)^2 is x^4+8x^3+24x^2+32x+16