What is factor p^2+p-72 ?

The solution to factor p^2+p-72 is (p-8)(p+9)

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factor p^2+p-72

factor

p^{2} + p - 72

(p - 8) (p + 9)

Solution steps

p^{2} + p - 72

Break the expression into groups

= (p^{2} - 8 p) + (9 p - 72)

Factor out

p

from

p^{2} - 8 p : p (p - 8)

Factor out

9

from

9 p - 72 : 9 (p - 8)

= p (p - 8) + 9 (p - 8)

Factor out common term

p - 8

= (p - 8) (p + 9)

1.1 2^{10}

19 = - 0.1 x^{2} + 70 x

- 19 \leq 4 x + 5 \leq - 3

2 x^{2} + 13 x + 21

3 x + 2 < 5 x - 8