Advertisements
Advertisements
प्रश्न
Factorize each of the following expressions:
lm2 − mn2 − lm + n2
उत्तर
\[l m^2 - m n^2 - lm + n^2 = (l m^2 - lm) + ( n^2 - m n^2 )\] [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
संबंधित प्रश्न
Factorize each of the following expressions:
1 + x + xy + x2y
Factorize each of the following expressions:
x2 + xy + xz + yz
Factorize each of the following expressions:
2ax + bx + 2ay + by
Factorize each of the following expressions:
6xy + 6 − 9y − 4x
Factorize each of the following expression:
abx2 + (ay − b) x − y
Factorize each of the following expression:
a(a − 2b − c) + 2bc
Factorize each of the following expression:
a(a + b − c) − bc
Factorize each of the following expression:
x2 − 11xy − x + 11y
Factorize each of the following expression:
x2 + y − xy − x
Factorise the following by taking out the common factor
a3 – 3a2 + a – 3
