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

a (g - h = m)

\frac{1}{k ( n - k )}

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

\frac{0.375 e ^{- 0.01 x}}{( 1 + 1.5 e ^{- 0.01 x} ) ^{2}}

(i - 1)^{5}

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