Question

A(1,-1) B(4,-1) C(4,3) are the
vertices of a triangle. Then the
equation of the altitude through
the vertex 'A' is​

Answer 1

Aloha!

$\textbf{Given:}\\\\a(a-1)-b(b-1)\\\\\textbf{To find:}\\\\\text{Factors of a(a-1)-b(b-1) }\\\\\textbf{Solution:}\\\\\text{Consider,}\\\\a(a-1)-b(b-1)\\\\=a^2-a-b^2+b\\\\=a^2-b^2-a+b\\\\=(a^2-b^2)-(a-b)\\\\\text{Using the identity,}\\\boxed{\bf\,a^2-b^2=(a-b)(a+b)}\\\\=(a-b)(a+b)-(a-b)\\\\\text{By taking (a-b) as a common factor}\\\\=(a-b)(a+b-1)\\\\\\\textbf{Answer:}\\\\\textbf{The factors of \bf\,a(a-1)-b(b-1) are (a-b) and (a+b-1)}$

Find more:

1.X2-(a-1/a)x+1 factorise the following

https://brainly.in/question/4301404#

2.Factorise x^4-(x-z)^4

https://brainly.in/question/14993176

3.a^4+b^4-7a^2b^2 factorise

https://brainly.in/question/8387647