What is (4sqrt(x)+4)^2 ?

The solution to (4sqrt(x)+4)^2 is 16x+32sqrt(x)+16

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simplify (4sqrt(x)+4)^2

simplify

(4 x + 4)^{2}

16 x + 32 x + 16

Solution steps

(4 x + 4)^{2}

Apply Perfect Square Formula:

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

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

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

(4 x)^{2} = 16 x

2 \cdot 4 x \cdot 4 = 32 x

4^{2} = 16

= 16 x + 32 x + 16

(- cot (x) csc (x)) (2 csc (x) - 1)

(y + Δ)^{3}

\frac{x ^{4} + y ^{4}}{x y ( y ^{2} + x ^{2} )}

\frac{2 x + 1}{x ^{2} ( x + 1 ) ^{2}}