What is expand (2x^2y+7)^2 ?

The solution to expand (2x^2y+7)^2 is 4x^4y^2+28x^2y+49

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expand (2x^2y+7)^2

expand

(2 x^{2} y + 7)^{2}

4 x^{4} y^{2} + 28 x^{2} y + 49

Solution steps

(2 x^{2} y + 7)^{2}

Apply Perfect Square Formula:

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

(2 x^{2} y + 7)^{2} = (2 x^{2} y)^{2} + 2 \cdot 2 x^{2} y \cdot 7 + 7^{2}

= (2 x^{2} y)^{2} + 2 \cdot 2 x^{2} y \cdot 7 + 7^{2}

Simplify

(2 x^{2} y)^{2} + 2 \cdot 2 x^{2} y \cdot 7 + 7^{2} : 4 x^{4} y^{2} + 28 x^{2} y + 49

= 4 x^{4} y^{2} + 28 x^{2} y + 49

(x - 1)^{2} - y^{2}

(\frac{2 x ^{2}}{y ^{2}})^{3}

4 x^{2} - 7 x (2 x - 4) + 3 x^{2} - 7 x + 3

x^{4} + 5 x^{2}

\frac{- 1}{2} - 2

What is expand (2x^2y+7)^2 ?
The solution to expand (2x^2y+7)^2 is 4x^4y^2+28x^2y+49