What is (5+sqrt(3x-5))^2 ?

The solution to (5+sqrt(3x-5))^2 is 3x+10sqrt(3x-5)+20

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simplify (5+sqrt(3x-5))^2

simplify

(5 + 3 x - 5)^{2}

3 x + 10 3 x - 5 + 20

Solution steps

(5 + 3 x - 5)^{2}

Apply Perfect Square Formula:

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

(5 + 3 x - 5)^{2} = 5^{2} + 2 \cdot 5 3 x - 5 + (3 x - 5)^{2}

= 5^{2} + 2 \cdot 5 3 x - 5 + (3 x - 5)^{2}

Simplify

5^{2} + 2 \cdot 5 3 x - 5 + (3 x - 5)^{2} : 3 x + 10 3 x - 5 + 20

= 3 x + 10 3 x - 5 + 20

3 x^{2} + 28 x + 49

20 \times 8

d - \frac{c}{9}

2 x^{2} + 5 + (5 - 2) x^{2} - 3

7 c^{2} + 4 c^{2}

What is (5+sqrt(3x-5))^2 ?
The solution to (5+sqrt(3x-5))^2 is 3x+10sqrt(3x-5)+20