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Popular >

expand 5(x+2)^2

Solution

expand

5 (x + 2)^{2}

Solution

5 x^{2} + 20 x + 20

Solution steps

5 (x + 2)^{2}

Expand

(x + 2)^{2} : x^{2} + 4 x + 4

= 5 (x^{2} + 4 x + 4)

Apply the distributive law:

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

5 (x^{2} + 4 x + 4) = 5 x^{2} + 5 \cdot 4 x + 5 \cdot 4

= 5 x^{2} + 5 \cdot 4 x + 5 \cdot 4

Simplify

5 x^{2} + 5 \cdot 4 x + 5 \cdot 4 : 5 x^{2} + 20 x + 20

= 5 x^{2} + 20 x + 20

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Frequently Asked Questions (FAQ)

What is expand 5(x+2)^2 ?
The solution to expand 5(x+2)^2 is 5x^2+20x+20