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Popular >

expand (3x^2+2y)^2

Solution

expand

(3 x^{2} + 2 y)^{2}

Solution

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

Solution steps

(3 x^{2} + 2 y)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

Popular Examples

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[3 x + 10 x - (5 x + 2 x)]

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\frac{e ^{4 i} - e ^{- 4 i}}{2 i}

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\frac{9}{4} + \frac{1}{2}

Frequently Asked Questions (FAQ)

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