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Popular >

expand (2+3x)^2

Solution

expand

(2 + 3 x)^{2}

Solution

4 + 12 x + 9 x^{2}

Solution steps

(2 + 3 x)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(2 + 3 x)^{2} = 2^{2} + 2 \cdot 2 \cdot 3 x + (3 x)^{2}

= 2^{2} + 2 \cdot 2 \cdot 3 x + (3 x)^{2}

Simplify

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

= 4 + 12 x + 9 x^{2}

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Frequently Asked Questions (FAQ)

What is expand (2+3x)^2 ?
The solution to expand (2+3x)^2 is 4+12x+9x^2