What is expand (7x^2-2xy)^2 ?

The solution to expand (7x^2-2xy)^2 is 49x^4-28x^3y+4x^2y^2

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expand (7x^2-2xy)^2

expand

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

49 x^{4} - 28 x^{3} y + 4 x^{2} y^{2}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(7 x^{2})^{2} - 2 \cdot 7 x^{2} \cdot 2 x y + (2 x y)^{2} : 49 x^{4} - 28 x^{3} y + 4 x^{2} y^{2}

= 49 x^{4} - 28 x^{3} y + 4 x^{2} y^{2}

(sec (x) + 1) (sec (x) - 1)

36900

\frac{1 + 4}{2}

- 4 \cdot 2 x

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

What is expand (7x^2-2xy)^2 ?
The solution to expand (7x^2-2xy)^2 is 49x^4-28x^3y+4x^2y^2