Question

3. Factorise.
(i) x² + xy + 8x + 8y. 3) ax+bx-ay-by ​

Answer 1

Step-by-step explanation:

(i) x^2+xy+8x+8y

=x(x+y)+8(x+y)

=(x+8)(x+y)

(iii) ax+by−ay−by

=x(a+b)−y(a+b)

=(x−y)(a+b)

Answer 2

TO FACTORISE:

$(1) \: \: {\green{{x}^{2} + xy \: + 8x + 8y}}$

$(2) \: \:{\green{ ax + bx - ay - by}}$

$———————————————————$

SOLUTION:

$(1) \: \: {\red{{x}^{2} + xy + 8x + 8y}}$

$= = > x(x + y) + 8(x + y)$

$= = > {\blue{(x + y)(x + 8)}}$

$(2) \: \:{\red{ ax + bx - ay - by}}$

$= = > x(a + b) - y(a + b)$

$= = > {\blue{(a + b)(x - y)}}$

$———————————————————$

${\large{\mathcal{\orange{Have \: a \: nice \: day \: ahead}}}}$