Advertisements
Advertisements
प्रश्न
Factorize each of the following expressions:
lm2 − mn2 − lm + n2
Advertisements
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:
xa2 + xb2 − ya2 − yb2
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:
ab − by − ay + y2
Factorize each of the following expressions:
axy + bcxy − az − bcz
Factorize each of the following expressions:
x3 − 2x2y + 3xy2 − 6y3
Factorize each of the following expression:
16(a − b)3 − 24 (a − b)2
Factorize each of the following expression:
ab(x2 + 1) + x(a2 + b2)
Factorize each of the following expression:
x2 − 11xy − x + 11y
