What is (5sqrt(x)+7sqrt(y))^2 ?

The solution to (5sqrt(x)+7sqrt(y))^2 is 25x+70sqrt(x)sqrt(y)+49y

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simplify (5sqrt(x)+7sqrt(y))^2

simplify

(5 x + 7 y)^{2}

25 x + 70 x y + 49 y

Solution steps

(5 x + 7 y)^{2}

Apply Perfect Square Formula:

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

(5 x + 7 y)^{2} = (5 x)^{2} + 2 \cdot 5 x \cdot 7 y + (7 y)^{2}

= (5 x)^{2} + 2 \cdot 5 x \cdot 7 y + (7 y)^{2}

(5 x)^{2} = 25 x

2 \cdot 5 x \cdot 7 y = 70 x y

(7 y)^{2} = 49 y

= 25 x + 70 x y + 49 y

\frac{1}{( 4 x + 1 ) ^{2} ( sin ( π x ) + cos ( π x ) )}

(x - 3) (x + \frac{1}{2})

5 (6 - 3)

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

(x cos (x)) (sin (x) + x cos (x))

What is (5sqrt(x)+7sqrt(y))^2 ?
The solution to (5sqrt(x)+7sqrt(y))^2 is 25x+70sqrt(x)sqrt(y)+49y