What is (2xsqrt(x+y))(2sqrt(x+y)) ?

The solution to (2xsqrt(x+y))(2sqrt(x+y)) is 4x(x+y)

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simplify (2xsqrt(x+y))(2sqrt(x+y))

simplify

(2 x x + y) (2 x + y)

4 x (x + y)

Solution steps

(2 x x + y) (2 x + y)

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply radical rule:

a a = a

x + y x + y = x + y

= 2^{2} x (x + y)

2^{2} = 4

= 4 x (x + y)

(x + y)^{2} x^{2} y

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

e^{3 x} \cdot e^{6}

8 x \cdot 3 x

4 x^{2} (3 x^{2})

What is (2xsqrt(x+y))(2sqrt(x+y)) ?
The solution to (2xsqrt(x+y))(2sqrt(x+y)) is 4x(x+y)