What is factor r^2+7r+10 ?

The solution to factor r^2+7r+10 is (r+2)(r+5)

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factor r^2+7r+10

factor

r^{2} + 7 r + 10

(r + 2) (r + 5)

Solution steps

r^{2} + 7 r + 10

Break the expression into groups

= (r^{2} + 2 r) + (5 r + 10)

Factor out

r

from

r^{2} + 2 r : r (r + 2)

Factor out

5

from

5 r + 10 : 5 (r + 2)

= r (r + 2) + 5 (r + 2)

Factor out common term

r + 2

= (r + 2) (r + 5)

\frac{1}{8} + \frac{5}{8}

\frac{x}{4} - \frac{x}{3} = - 1 - \frac{x}{5}

\frac{2}{5 - 2}

\frac{2500}{45 + 5 e ^{- 0.05 \cdot 6}}

z^{2} = - 3