What is expand (3ab-5x^2)^2 ?

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

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expand (3ab-5x^2)^2

expand

(3 ab - 5 x^{2})^{2}

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

Solution steps

(3 ab - 5 x^{2})^{2}

Apply Perfect Square Formula:

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

(3 ab - 5 x^{2})^{2} = (3 ab)^{2} - 2 \cdot 3 ab \cdot 5 x^{2} + (5 x^{2})^{2}

= (3 ab)^{2} - 2 \cdot 3 ab \cdot 5 x^{2} + (5 x^{2})^{2}

Simplify

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

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

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

3 \div \frac{3}{4}

(- 9 + 5 i) (- 5 - 7 i)

\frac{16}{100}

(- 3 ab) (2 a^{2} - 7 ab + 8 b^{2})

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