Question

Factorise the following :- i) z−7+7xy−xyz ii) 15pq + 15 + 9pq + 25q

— No spam! ​

Answer 1

Answer:

so this is the answer i didnot spam

please mark me a brainliest

Answer 2

$\large\underline{\sf{Solution-i}}$

$\rm \: z - 7 + 7xy - xyz$

can be regrouped as

$\rm \: = \: ( z - 7 )+ (7xy - xyz)$

$\rm \: = \: ( z - 7 )+ (7 \red{xy} - \red{xy}z)$

$\rm \: = \: (z - 7) + xy(7 - z)$

$\rm \: = \: (z - 7) - xy(z- 7)$

$\rm \: = \: \red{(z - 7)} - xy \red{(z- 7)}$

$\rm \: = \: (z - 7)(1 - xy)$

Hence,

$\rm\implies \:z - 7 + 7xy - xyz = \: (z - 7)(1 - xy)$

$\large\underline{\sf{Solution-ii}}$

$\rm \: 15pq + 15 + 9pq + 25q$

$\rm \: = \: (15pq + 9pq) + 15 + 25q$

$\rm \: = \: 24pq + 15 + 25q$

$\rule{190pt}{2pt}$

Concept Used :-

1. Method of Common Factors

Step :- 1 In this method, we have to first break down the terms in to the lowest factors.

Step :- 2 Now take out the respective common factors from all the terms.

Step :- 3 The product of the factors is the required factorization of the expression.

2. Factorisation by Regrouping Terms

Sometimes it is not possible to take out the common factors from all the terms. In such cases, we have to make the rearrangement of the terms in the groups to take out the common factors.

Find the common factor from these terms and it will give the required factors of the given expression.