What is factor 25x^2+25x+6 ?

The solution to factor 25x^2+25x+6 is (5x+2)(5x+3)

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factor 25x^2+25x+6

factor

25 x^{2} + 25 x + 6

(5 x + 2) (5 x + 3)

Solution steps

25 x^{2} + 25 x + 6

Break the expression into groups

= (25 x^{2} + 10 x) + (15 x + 6)

Factor out

5 x

from

25 x^{2} + 10 x : 5 x (5 x + 2)

Factor out

3

from

15 x + 6 : 3 (5 x + 2)

= 5 x (5 x + 2) + 3 (5 x + 2)

Factor out common term

5 x + 2

= (5 x + 2) (5 x + 3)

- 2 \frac{1}{5} \div \frac{- 3}{7}

\frac{7 x}{x ^{2} + 6 x + 9} + \frac{1}{x ^{2} - 9}

(- 1 + 4 i) (9 - 4 i)

50 \times 3

23 \cdot 223