Advertisements
Advertisements
Question
Factorize each of the following expression:
x − y − x2 + y2
Advertisements
Solution
\[x - y - x^2 + y^2 \]
\[ = (x - y) + ( y^2 - x^2 )\] [Regrouping the terms]
\[ = (x - y) + (y + x)(y - x)\]
\[ = (x - y) - (y + x)(x - y) [ \because (y - x) = - (x - y)]\]
\[ = (x - y)[1 - (y + x)]\]
\[ = (x - y)(1 - x - y)\]
RELATED QUESTIONS
Factorize each of the following expression:
144a2 − 289b2
Factorize each of the following expression:
a4 − 16b4
Factorize each of the following expression:
9(a − b)2 − 100(x − y)2
Factorize each of the following expression:
3x3y − 243xy3
Factorize each of the following expression:
49(a − b)2 − 25(a + b)2
Factorize each of the following expression:
xy9 − yx9
Factorize each of the following quadratic polynomials by using the method of completing the square:
p2 + 6p + 8
Factorize each of the following quadratic polynomials by using the method of completing the square:
4x2 − 12x + 5
Factorize each of the following quadratic polynomials by using the method of completing the square:
z2 − 4z − 12
Factorise: (7y2 – 19y – 6)
