Question

Factorise: a² + 5a - ab - 5b​

Answer 1

Answer:

(a - 5)(a - b)

Step-by-step explanation:

$a(a + 5) - b(a - 5)$

$(a - 5)(a - b)$

Answer 2

Answer:

ANSWER

In the given polynomial a

2

+5a−104,

The first term is a

2

and its coefficient is 1.

The middle term is 5a and its coefficient is 5.

The last term is a constant term −104.

Multiply the coefficient of the first term by the constant 1×−104=−104.

We now find the factor of −104 whose sum equals the coefficient of the middle term, which is 5 and then factorize the polynomial a

2

+5a−104 as shown below:

a

2

+5a−104

=a

2

+13a−8a−104

=a(a+13)−8(a+13)

=(a−8)(a+13)

Hence, a

2

+5a−104=(a−8)(a+13)