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Popular >

expand 9(x-1)^2

Solution

expand

9 (x - 1)^{2}

Solution

9 x^{2} - 18 x + 9

Solution steps

9 (x - 1)^{2}

Expand

(x - 1)^{2} : x^{2} - 2 x + 1

= 9 (x^{2} - 2 x + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

9 (x^{2} - 2 x + 1) = 9 x^{2} + 9 (- 2 x) + 9 \cdot 1

= 9 x^{2} + 9 (- 2 x) + 9 \cdot 1

Simplify

9 x^{2} + 9 (- 2 x) + 9 \cdot 1 : 9 x^{2} - 18 x + 9

= 9 x^{2} - 18 x + 9

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Frequently Asked Questions (FAQ)

What is expand 9(x-1)^2 ?
The solution to expand 9(x-1)^2 is 9x^2-18x+9