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Popular >

expand 4(x+3)^2

Solution

expand

4 (x + 3)^{2}

Solution

4 x^{2} + 24 x + 36

Solution steps

4 (x + 3)^{2}

Expand

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

= 4 (x^{2} + 6 x + 9)

Apply the distributive law:

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

4 (x^{2} + 6 x + 9) = 4 x^{2} + 4 \cdot 6 x + 4 \cdot 9

= 4 x^{2} + 4 \cdot 6 x + 4 \cdot 9

Simplify

4 x^{2} + 4 \cdot 6 x + 4 \cdot 9 : 4 x^{2} + 24 x + 36

= 4 x^{2} + 24 x + 36

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Frequently Asked Questions (FAQ)

What is expand 4(x+3)^2 ?
The solution to expand 4(x+3)^2 is 4x^2+24x+36