What is expand 9(2/(sqrt(13))x+3/(sqrt(13))y)^2 ?

The solution to expand 9(2/(sqrt(13))x+3/(sqrt(13))y)^2 is (9(4x^2+12xy+9y^2))/(13)

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expand 9(2/(sqrt(13))x+3/(sqrt(13))y)^2

expand

9 (\frac{2}{13} x + \frac{3}{13} y)^{2}

\frac{9 ( 4 x ^{2} + 12 x y + 9 y ^{2} )}{13}

Solution steps

9 (\frac{2}{13} x + \frac{3}{13} y)^{2}

Apply Perfect Square Formula:

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

(\frac{2}{13} x + \frac{3}{13} y)^{2} = (\frac{2}{13} x)^{2} + 2 \cdot \frac{2}{13} x \frac{3}{13} y + (\frac{3}{13} y)^{2}

= 9 ((\frac{2}{13} x)^{2} + 2 \cdot \frac{2}{13} x \frac{3}{13} y + (\frac{3}{13} y)^{2})

Simplify

(\frac{2}{13} x)^{2} + 2 \cdot \frac{2}{13} x \frac{3}{13} y + (\frac{3}{13} y)^{2} : \frac{4 x ^{2} + 12 x y + 9 y ^{2}}{13}

= 9 \cdot \frac{4 x ^{2} + 12 x y + 9 y ^{2}}{13}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{9 ( 4 x ^{2} + 12 x y + 9 y ^{2} )}{13}

a^{x} \cdot (ln (a) + \frac{x}{a})

(P - J)^{2} + (Q - K)^{2}

(a + 55)^{2}

3 (1 + \frac{2 i}{n})^{2}

\frac{15 x ^{2} - 10 x + 16}{( 3 x - 1 ) ^{2}}

What is expand 9(2/(sqrt(13))x+3/(sqrt(13))y)^2 ?
The solution to expand 9(2/(sqrt(13))x+3/(sqrt(13))y)^2 is (9(4x^2+12xy+9y^2))/(13)