Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
x2 − y2 + 6y − 9
Solution
\[x^2 - y^2 + 6y - 9\]
\[ = x^2 - ( y^2 - 6y + 9)\]
\[ = x^2 - ( y^2 - 2 \times y \times 3 + 3^2 )\]
\[ = x^2 - (y - 3 )^2 \]
\[ = [x - (y - 3)][x + (y - 3)]\]
\[ = (x - y + 3)(x + y - 3)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
6x(2x − y) + 7y(2x − y)
Factorize each of the following algebraic expressions:
16(2l − 3m)2 −12(3m − 2l)
Factorize each of the following algebraic expressions:
(2x − 3y)(a + b) + (3x − 2y)(a + b)
Factorize each of the following algebraic expressions:
4(x + y) (3a − b) +6(x + y) (2b − 3a)
Factorize each of the following algebraic expression:
9a2 − 24ab + 16b2
Factorize each of the following algebraic expression:
36a2 + 36a + 9
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − 16
Factorize each of the following algebraic expression:
a2 − 2ab + b2 − c2
Factorize each of the following algebraic expression:
(a2 − 5a)2 − 36
Factorise the following expression and write in the product form.
tr2s3
