Question

(a - 5)^2 - (a - 8)^2. (Factorise).​

Answer 1

Answer:

(a−5)

2

−(a−8)

2

=(a−5+a−8)(a−5−a+8)

=(2a−13)(3)

Step-by-step explanation:

hope it help you

Answer 2

Following are the steps for getting the answer:

Given:

$(a - 5)^2 - (a - 8)^2$

to find:

Factor of $(a - 5)^2 - (a - 8)^2$

solution:

we have to find the factor of $(a - 5)^2 - (a - 8)^2$

we know that

(a-b)²=a²-2ab+b²

so,

we will write $(a - 5)^2 - (a - 8)^2$ in the form of (a-b)²=a²-2ab+b²

we get,

=a²-2×a×5+ 5²-a²-2×a×8+8²

=a²−10a+25−a²+16a−64

Combine Like Terms:

=a²−10a+25−a²+16a−64)

=(a²−a²)+(−10a+16a)+(25−64)

=6a−39

now take 2 as common

we get,

=3(2a-13)

thus, the factor of  $(a - 5)^2 - (a - 8)^2$ is 3(2a-13)