What is factor (52t-16t^2)-40 ?

The solution to factor (52t-16t^2)-40 is -4(4t-5)(t-2)

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factor (52t-16t^2)-40

factor

(52 t - 16 t^{2}) - 40

- 4 (4 t - 5) (t - 2)

Solution steps

(52 t - 16 t^{2}) - 40

Factor

52 t - 16 t^{2} : 4 t (13 - 4 t)

= 4 t (13 - 4 t) - 40

Factor out common term

4 : 4 (t (13 - 4 t) - 10)

= 4 (t (13 - 4 t) - 10)

Expand

t (13 - 4 t) - 10 : 13 t - 4 t^{2} - 10

= 4 (13 t - 4 t^{2} - 10)

= 4 (- 4 t^{2} + 13 t - 10)

Factor

- 4 t^{2} + 13 t - 10 : - (4 t - 5) (t - 2)

= 4 (- (4 t - 5) (t - 2))

Apply rule:

a (- b) = - ab

4 (- (4 t - 5) (t - 2)) = - 4 (4 t - 5) (t - 2)

= - 4 (4 t - 5) (t - 2)

2 x^{2} - x - 45

345 \cdot 375

∣ x - 1 ∣ \cdot ∣ x + 2 ∣ = 3

0 = x^{2} - 4 x - 2

x^{2} - 20 x + 100

What is factor (52t-16t^2)-40 ?
The solution to factor (52t-16t^2)-40 is -4(4t-5)(t-2)