What is expand 7(2/(sqrt(13))x+3/(sqrt(13))y)^2 ?

The solution to expand 7(2/(sqrt(13))x+3/(sqrt(13))y)^2 is (7(4x^2+12xy+9y^2))/(13)

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expand 7(2/(sqrt(13))x+3/(sqrt(13))y)^2

expand

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

\frac{7 ( 4 x ^{2} + 12 x y + 9 y ^{2} )}{13}

Solution steps

7 (\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}

= 7 ((\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}

= 7 \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{7 ( 4 x ^{2} + 12 x y + 9 y ^{2} )}{13}

\frac{1}{s ^{2} ( s + 1 ) ^{2}}

(1 + ln (x)) (- e + 2 x - x ln (x))

(2 + 5) (2 + 5)

1 + x + y (- 1 - y^{'} (x))

(cos^{2} (v) + u (sin^{2} (v)))^{2}

What is expand 7(2/(sqrt(13))x+3/(sqrt(13))y)^2 ?
The solution to expand 7(2/(sqrt(13))x+3/(sqrt(13))y)^2 is (7(4x^2+12xy+9y^2))/(13)