What is expand (5a^2x-3b^2y)^2 ?

The solution to expand (5a^2x-3b^2y)^2 is 25a^4x^2-30xa^2yb^2+9b^4y^2

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expand (5a^2x-3b^2y)^2

expand

(5 a^{2} x - 3 b^{2} y)^{2}

25 a^{4} x^{2} - 30 x a^{2} y b^{2} + 9 b^{4} y^{2}

Solution steps

(5 a^{2} x - 3 b^{2} y)^{2}

Apply Perfect Square Formula:

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

(5 a^{2} x - 3 b^{2} y)^{2} = (5 a^{2} x)^{2} - 2 \cdot 5 a^{2} x \cdot 3 b^{2} y + (3 b^{2} y)^{2}

= (5 a^{2} x)^{2} - 2 \cdot 5 a^{2} x \cdot 3 b^{2} y + (3 b^{2} y)^{2}

Simplify

(5 a^{2} x)^{2} - 2 \cdot 5 a^{2} x \cdot 3 b^{2} y + (3 b^{2} y)^{2} : 25 a^{4} x^{2} - 30 x a^{2} y b^{2} + 9 b^{4} y^{2}

= 25 a^{4} x^{2} - 30 x a^{2} y b^{2} + 9 b^{4} y^{2}

4 x^{3} + 7 x^{2} + 4 x + 7

(k - 6)^{2}

5 (x + 4)

328

x^{2} - \frac{5}{4} x + \frac{1}{4}

What is expand (5a^2x-3b^2y)^2 ?
The solution to expand (5a^2x-3b^2y)^2 is 25a^4x^2-30xa^2yb^2+9b^4y^2