Advertisements
Advertisements
Question
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Solution
\[(x + 2 )^2 - 6(x + 2) + 9\]
\[ = (x + 2 )^2 - 2 \times (x + 2) \times 3 + 3^2 \]
\[ = [(x + 2) - 3 ]^2 \]
\[ = (x + 2 - 3 )^2 \]
\[ = (x - 1 )^2 \]
\[ = (x - 1)(x - 1)\]
APPEARS IN
RELATED QUESTIONS
Find the greatest common factor of the terms in each of the following expression:
5a4 + 10a3 − 15a2
Find the greatest common factor of the terms in each of the following expression:
2xyz + 3x2y + 4y2
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 expression:
a2 − 2ab + b2 − c2
Factorize each of the following algebraic expression:
a2 − b2 + 2bc − c2
Factorize each of the following algebraic expression:
a2 + 4b2 − 4ab − 4c2
Factorize each of the following algebraic expression:
x2 + 12x − 45
Factorize each of the following algebraic expression:
x2 + 14x + 45
Factorise the following expression.
4x2 − 25y2
