What is (sqrt(y)+sqrt(z))(sqrt(y)+sqrt(z)) ?

The solution to (sqrt(y)+sqrt(z))(sqrt(y)+sqrt(z)) is y+2sqrt(y)sqrt(z)+z

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simplify (sqrt(y)+sqrt(z))(sqrt(y)+sqrt(z))

simplify

(y + z) (y + z)

y + 2 y z + z

Solution steps

(y + z) (y + z)

Apply exponent rule:

aa = a^{2}

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

= (y + z)^{2}

Apply Perfect Square Formula:

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

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

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

(y)^{2} = y

(z)^{2} = z

= y + 2 y z + z

\frac{x ^{\frac{3}{2}}}{y ^{\frac{3}{2}}}

5 (3)^{3} e^{- 3}

x e^{- x^{2}}

e^{e^{x}} \cdot e^{x}

What is (sqrt(y)+sqrt(z))(sqrt(y)+sqrt(z)) ?
The solution to (sqrt(y)+sqrt(z))(sqrt(y)+sqrt(z)) is y+2sqrt(y)sqrt(z)+z