What is factor 3a^2+8ab+5b^2 ?

The solution to factor 3a^2+8ab+5b^2 is (a+b)(3a+5b)

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factor 3a^2+8ab+5b^2

factor

3 a^{2} + 8 ab + 5 b^{2}

(a + b) (3 a + 5 b)

Solution steps

3 a^{2} + 8 ab + 5 b^{2}

Break the expression into groups

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

Factor out

3 a

from

3 a^{2} + 3 ab : 3 a (a + b)

Factor out

5 b

from

5 ab + 5 b^{2} : 5 b (a + b)

= 3 a (a + b) + 5 b (a + b)

Factor out common term

a + b

= (a + b) (3 a + 5 b)

3 x + 2 < 20

\frac{2 i ^{8} + 2 i ^{- 7}}{i ^{11} + 1}

8 a + 2 (1 - 5 a) \leq 20

7 (x - 2) = 5 (x + 2)

10 p^{2} + 4 p + 77 = 9

What is factor 3a^2+8ab+5b^2 ?
The solution to factor 3a^2+8ab+5b^2 is (a+b)(3a+5b)