What is factor m^2+3m-28 ?

The solution to factor m^2+3m-28 is (m-4)(m+7)

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factor m^2+3m-28

factor

m^{2} + 3 m - 28

(m - 4) (m + 7)

Solution steps

m^{2} + 3 m - 28

Break the expression into groups

= (m^{2} - 4 m) + (7 m - 28)

Factor out

m

from

m^{2} - 4 m : m (m - 4)

Factor out

7

from

7 m - 28 : 7 (m - 4)

= m (m - 4) + 7 (m - 4)

Factor out common term

m - 4

= (m - 4) (m + 7)

(3 - 53)^{2}

\frac{3 x ^{- \frac{1}{2}} \cdot 3 x ^{\frac{1}{2}} y ^{- \frac{1}{3}}}{3 y ^{- \frac{7}{4}}}

500 \leq \frac{( x + 1 ) ^{2}}{4} \leq 1000

x^{3} + 4 x^{2} + 4 x + 16

\frac{x}{7} + 4 = - 5