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Popular >

expand (-1/3 x+1)^2

Solution

expand

(- \frac{1}{3} x + 1)^{2}

Solution

\frac{9 + x ^{2} - 6 x}{9}

Solution steps

(- \frac{1}{3} x + 1)^{2}

Apply Perfect Square Formula:

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

(- \frac{1}{3} x + 1)^{2} = (- \frac{1}{3} x)^{2} + 2 (- \frac{1}{3} x) \cdot 1 + 1^{2}

= (- \frac{1}{3} x)^{2} + 2 (- \frac{1}{3} x) \cdot 1 + 1^{2}

Simplify

(- \frac{1}{3} x)^{2} + 2 (- \frac{1}{3} x) \cdot 1 + 1^{2} : \frac{9 + x ^{2} - 6 x}{9}

= \frac{9 + x ^{2} - 6 x}{9}

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Frequently Asked Questions (FAQ)

What is expand (-1/3 x+1)^2 ?
The solution to expand (-1/3 x+1)^2 is (9+x^2-6x)/9