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Popular >

expand 5(x-3)^2

Solution

expand

5 (x - 3)^{2}

Solution

5 x^{2} - 30 x + 45

Solution steps

5 (x - 3)^{2}

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= 5 (x^{2} - 6 x + 9)

Apply the distributive law:

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

5 (x^{2} - 6 x + 9) = 5 x^{2} + 5 (- 6 x) + 5 \cdot 9

= 5 x^{2} + 5 (- 6 x) + 5 \cdot 9

Simplify

5 x^{2} + 5 (- 6 x) + 5 \cdot 9 : 5 x^{2} - 30 x + 45

= 5 x^{2} - 30 x + 45

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Frequently Asked Questions (FAQ)

What is expand 5(x-3)^2 ?
The solution to expand 5(x-3)^2 is 5x^2-30x+45