Advertisements
Advertisements
Question
Factorize each of the following expression:
x2 − 11xy − x + 11y
Advertisements
Solution
\[x^2 - 11xy - x + 11y = ( x^2 - x) + (11y - 11xy) \][Regrouping the expressions]
\[ = x(x - 1) + 11y(1 - x)\]
\[ = x(x - 1) - 11y(x - 1) [ \because (1 - x) = - (x - 1)]\]
\[ = (x - 11y)(x - 1) \][Taking out the common factor (x - 1)]
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:
axy + bcxy − az − bcz
Factorize each of the following expressions:
x3 − y2 + x − x2y2
Factorize each of the following expressions:
6xy + 6 − 9y − 4x
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:
a(a + b − c) − bc
Factorise the following by taking out the common factor
a3 – 3a2 + a – 3
