What is (8sqrt(x)-7)^2 ?

The solution to (8sqrt(x)-7)^2 is 64x-112sqrt(x)+49

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simplify (8sqrt(x)-7)^2

simplify

(8 x - 7)^{2}

64 x - 112 x + 49

Solution steps

(8 x - 7)^{2}

Apply Perfect Square Formula:

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

(8 x - 7)^{2} = (8 x)^{2} - 2 \cdot 8 x \cdot 7 + 7^{2}

= (8 x)^{2} - 2 \cdot 8 x \cdot 7 + 7^{2}

(8 x)^{2} = 64 x

- 2 \cdot 8 x \cdot 7 = - 112 x

7^{2} = 49

= 64 x - 112 x + 49

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