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Popular >

expand 36(2x+3)^2

Solution

expand

36 (2 x + 3)^{2}

Solution

144 x^{2} + 432 x + 324

Solution steps

36 (2 x + 3)^{2}

Expand

(2 x + 3)^{2} : 4 x^{2} + 12 x + 9

= 36 (4 x^{2} + 12 x + 9)

Apply the distributive law:

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

36 (4 x^{2} + 12 x + 9) = 36 \cdot 4 x^{2} + 36 \cdot 12 x + 36 \cdot 9

= 36 \cdot 4 x^{2} + 36 \cdot 12 x + 36 \cdot 9

Simplify

36 \cdot 4 x^{2} + 36 \cdot 12 x + 36 \cdot 9 : 144 x^{2} + 432 x + 324

= 144 x^{2} + 432 x + 324

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Frequently Asked Questions (FAQ)

What is expand 36(2x+3)^2 ?
The solution to expand 36(2x+3)^2 is 144x^2+432x+324