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Popular >

expand 5(x-1)^2

Solution

expand

5 (x - 1)^{2}

Solution

5 x^{2} - 10 x + 5

Solution steps

5 (x - 1)^{2}

Expand

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

= 5 (x^{2} - 2 x + 1)

Apply the distributive law:

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

5 (x^{2} - 2 x + 1) = 5 x^{2} + 5 (- 2 x) + 5 \cdot 1

= 5 x^{2} + 5 (- 2 x) + 5 \cdot 1

Simplify

5 x^{2} + 5 (- 2 x) + 5 \cdot 1 : 5 x^{2} - 10 x + 5

= 5 x^{2} - 10 x + 5

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Frequently Asked Questions (FAQ)

What is expand 5(x-1)^2 ?
The solution to expand 5(x-1)^2 is 5x^2-10x+5