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Popular >

expand (3x-6y)^2

Solution

expand

(3 x - 6 y)^{2}

Solution

9 x^{2} - 36 x y + 36 y^{2}

Solution steps

(3 x - 6 y)^{2}

Apply Perfect Square Formula:

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

(3 x - 6 y)^{2} = (3 x)^{2} - 2 \cdot 3 x \cdot 6 y + (6 y)^{2}

= (3 x)^{2} - 2 \cdot 3 x \cdot 6 y + (6 y)^{2}

Simplify

(3 x)^{2} - 2 \cdot 3 x \cdot 6 y + (6 y)^{2} : 9 x^{2} - 36 x y + 36 y^{2}

= 9 x^{2} - 36 x y + 36 y^{2}

Popular Examples

simplify 8sqrt(147x)-3sqrt(48x)simplify

8 147 x - 3 48 x

factor 6x^4-16x^3-84x^2+82x+60 factor

6 x^{4} - 16 x^{3} - 84 x^{2} + 82 x + 60

2 \frac{1}{3} + 1 \frac{5}{9}

simplify (9x-6)/3 simplify

\frac{9 x - 6}{3}

\frac{45}{13}

Frequently Asked Questions (FAQ)

What is expand (3x-6y)^2 ?
The solution to expand (3x-6y)^2 is 9x^2-36xy+36y^2