What is (sqrt(a)+sqrt(bx))^2 ?

The solution to (sqrt(a)+sqrt(bx))^2 is a+2sqrt(a)sqrt(bx)+bx

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simplify (sqrt(a)+sqrt(bx))^2

simplify

(a + b x)^{2}

a + 2 a b x + b x

Solution steps

(a + b x)^{2}

Apply Perfect Square Formula:

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

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

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

(a)^{2} = a

(b x)^{2} = b x

= a + 2 a b x + b x

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What is (sqrt(a)+sqrt(bx))^2 ?
The solution to (sqrt(a)+sqrt(bx))^2 is a+2sqrt(a)sqrt(bx)+bx