What is factor 4(a+b)^2+19(a+b)-5 ?

The solution to factor 4(a+b)^2+19(a+b)-5 is (4(a+b)-1)(a+b+5)

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factor 4(a+b)^2+19(a+b)-5

factor

4 (a + b)^{2} + 19 (a + b) - 5

(4 (a + b) - 1) (a + b + 5)

Solution steps

4 (a + b)^{2} + 19 (a + b) - 5

Break the expression into groups

= (4 (a + b)^{2} - (a + b)) + (20 (a + b) - 5)

Factor out

(a + b)

from

4 (a + b)^{2} - (a + b) : (a + b) (4 (a + b) - 1)

Factor out

5

from

20 (a + b) - 5 : 5 (4 (a + b) - 1)

= (a + b) (4 (a + b) - 1) + 5 (4 (a + b) - 1)

Factor out common term

4 (a + b) - 1

= (4 (a + b) - 1) ((a + b) + 5)

Refine

= (a + b + 5) (4 (a + b) - 1)

1 6^{2} - 63

\frac{2}{36 t ^{2} - 12 t - 3}

A l (O H^{3})

(c - 1) - (c - 1)

\frac{1}{4 x ^{2} - 81}

What is factor 4(a+b)^2+19(a+b)-5 ?
The solution to factor 4(a+b)^2+19(a+b)-5 is (4(a+b)-1)(a+b+5)