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

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

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

factor

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

(2 a + b) (a + 2 b)

Solution steps

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

Break the expression into groups

= (2 a^{2} + ab) + (4 ab + 2 b^{2})

Factor out

a

from

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

Factor out

2 b

from

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

= a (2 a + b) + 2 b (2 a + b)

Factor out common term

2 a + b

= (2 a + b) (a + 2 b)

\frac{8 - 112}{6}

121 - x^{4}

- 49 x^{2}

9 - \frac{5}{2}

(h + 4) (h - 4)

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