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Popular >

expand [-(x-6)]^2

Solution

expand

[- (x - 6)]^{2}

Solution

x^{2} - 12 x + 36

Solution steps

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

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

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

= (x - 6)^{2}

Apply Perfect Square Formula:

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

a = x, b = 6

= x^{2} - 2 x \cdot 6 + 6^{2}

Simplify

x^{2} - 2 x \cdot 6 + 6^{2} : x^{2} - 12 x + 36

= x^{2} - 12 x + 36

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Frequently Asked Questions (FAQ)

What is expand [-(x-6)]^2 ?
The solution to expand [-(x-6)]^2 is x^2-12x+36