Advertisements
Advertisements
Question
Factorize each of the following expressions:
lm2 − mn2 − lm + n2
Solution
\[l m^2 - m n^2 - lm + n^2 = (l m^2 - lm) + ( n^2 - m n^2 )\] [Regrouping the expressions]
\[ = lm(m - 1) + n^2 (1 - m)\]
\[ = lm(m - 1) - n^2 (m - 1) [ \because (1 - m) = - (m - 1)]\]
\[ = (lm - n^2 )(m - 1)\] [Taking (m - 1) as the common factor]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expressions:
1 + x + xy + x2y
Factorize each of the following expressions:
ax + ay − bx − by
Factorize each of the following expressions:
xa2 + xb2 − ya2 − yb2
Factorize each of the following expressions:
ab − by − ay + y2
Factorize each of the following expressions:
x3 − y2 + x − x2y2
Factorize each of the following expression:
abx2 + (ay − b) x − y
Factorize each of the following expression:
16(a − b)3 − 24 (a − b)2
Factorize each of the following expression:
a2x2 + (ax2 + 1)x + a
Factorize each of the following expression:
a(a − 2b − c) + 2bc
Factorise the following by taking out the common factor
6xy – 4y2 + 12xy – 2yzx
