Question

Guys please help me out Please solve 8.a and 8.b questions in the attachment below

Answer 1

Answer :

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

Answer 2

Factoring is a financial transaction and a type of debtor finance in which a business sells its accounts receivable (i.e., invoices) to a third party (called a factor) at a discount. A business will sometimes factor its receivable assets to meet its present and immediate cash needs.