What is factor 7x^2+16x-48 ?

The solution to factor 7x^2+16x-48 is (7x-12)(x+4)

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factor 7x^2+16x-48

factor

7 x^{2} + 16 x - 48

(7 x - 12) (x + 4)

Solution steps

7 x^{2} + 16 x - 48

Break the expression into groups

= (7 x^{2} - 12 x) + (28 x - 48)

Factor out

x

from

7 x^{2} - 12 x : x (7 x - 12)

Factor out

4

from

28 x - 48 : 4 (7 x - 12)

= x (7 x - 12) + 4 (7 x - 12)

Factor out common term

7 x - 12

= (7 x - 12) (x + 4)

\frac{1 - 1}{1}

\frac{3}{4} + \frac{1}{1}

1 + tan^{2} (t)

\frac{2 x - 1}{2 - x} + \frac{x + 3}{2 x + 1}

(x + 4) (x^{2} - 4 x + 16) + (5 - x) (25 + 5 x + x^{2})