What is (5sqrt(x+2y))(5sqrt(x-2y)) ?

The solution to (5sqrt(x+2y))(5sqrt(x-2y)) is 25sqrt(x+2y)sqrt(x-2y)

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simplify (5sqrt(x+2y))(5sqrt(x-2y))

simplify

(5 x + 2 y) (5 x - 2 y)

25 x + 2 y x - 2 y

Solution steps

(5 x + 2 y) (5 x - 2 y)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

5 \cdot 5 = 5^{1 + 1}

= x + 2 y \cdot 5^{1 + 1} x - 2 y

Add the numbers:

1 + 1 = 2

= x + 2 y \cdot 5^{2} x - 2 y

5^{2} = 25

= 25 x + 2 y x - 2 y

(2 x^{2}) \cdot x

31.36 \cdot 1 0^{- 6}

7.635 (1 0^{- 6})

19.6 \cdot 1 0^{- 18}

e^{- (0.0025 \cdot 50)^{2.93}}

What is (5sqrt(x+2y))(5sqrt(x-2y)) ?
The solution to (5sqrt(x+2y))(5sqrt(x-2y)) is 25sqrt(x+2y)sqrt(x-2y)