What is factor 3a^2+10ab+7b^2 ?

The solution to factor 3a^2+10ab+7b^2 is (a+b)(3a+7b)

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factor 3a^2+10ab+7b^2

factor

3 a^{2} + 10 ab + 7 b^{2}

(a + b) (3 a + 7 b)

Solution steps

3 a^{2} + 10 ab + 7 b^{2}

Break the expression into groups

= (3 a^{2} + 3 ab) + (7 ab + 7 b^{2})

Factor out

3 a

from

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

Factor out

7 b

from

7 ab + 7 b^{2} : 7 b (a + b)

= 3 a (a + b) + 7 b (a + b)

Factor out common term

a + b

= (a + b) (3 a + 7 b)

a^{2} - 2 a - 63

4 x^{2} - 19 - 5

2 x^{2} + 5 x - 12 \leq 0

2 - 4 x \leq 12

49 + 14 x + x^{2}

What is factor 3a^2+10ab+7b^2 ?
The solution to factor 3a^2+10ab+7b^2 is (a+b)(3a+7b)