What is factor 25a^2+9b^2+30ab ?

The solution to factor 25a^2+9b^2+30ab is (5a+3b)^2

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factor 25a^2+9b^2+30ab

factor

25 a^{2} + 9 b^{2} + 30 ab

(5 a + 3 b)^{2}

Solution steps

25 a^{2} + 9 b^{2} + 30 ab

Group by common factors

= 25 a^{2} + 30 ab + 9 b^{2}

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

25 a^{2} = (5 a)^{2}

9 b^{2} = (3 b)^{2}

30 ab = 2 \cdot 5 a \cdot 3 b

= (5 a)^{2} + 2 \cdot 5 a \cdot 3 b + (3 b)^{2}

Apply Perfect Square Formula:

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

(5 a)^{2} + 2 \cdot 5 a \cdot 3 b + (3 b)^{2} = (5 a + 3 b)^{2}

= (5 a + 3 b)^{2}

9600 = 40 r \cdot r

w^{2} - 10 w + 40 = 0

\frac{- 8}{- 2}

2 x^{2} - 5 x < - 3

- x^{2} + 6 x = 8

What is factor 25a^2+9b^2+30ab ?
The solution to factor 25a^2+9b^2+30ab is (5a+3b)^2