What is factor Q^2-Q-56 ?

The solution to factor Q^2-Q-56 is (Q+7)(Q-8)

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factor Q^2-Q-56

factor

Q^{2} - Q - 56

(Q + 7) (Q - 8)

Solution steps

Q^{2} - Q - 56

Break the expression into groups

= (Q^{2} + 7 Q) + (- 8 Q - 56)

Factor out

Q

from

Q^{2} + 7 Q : Q (Q + 7)

Factor out

- 8

from

- 8 Q - 56 : - 8 (Q + 7)

= Q (Q + 7) - 8 (Q + 7)

Factor out common term

Q + 7

= (Q + 7) (Q - 8)

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