(i)
Factor
(ii)
Common factor
(iii)
Highest Common Factor (HCF)
Using HCF
Factorise \(7x +35\).
\(\begin{aligned} \space 7x &= 7 \times x \\\\ 35 &= 5 \times 7 \\\\ \therefore \text{HCF} &= 7.\\\\ \end{aligned}\)
The algebraic expressions, \(7x +35\) can be written as a product of two factors, \(7(x +5)\).
The common factor, \(7\), has been taken out and placed in front of the bracket.
The expression inside the bracket is obtained by dividing each term with \(7\).
Using difference of squares of two terms
Using Cross Multiplication
(iv)
Using common factors involving \(4\) algebraic terms
\(\begin{aligned} &\space jm-jn+ym-yn\\\\& = j(m-n) + y(m-n) \\\\& = (j+y)(m-n). \end{aligned}\)
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