Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
Advertisements
Solution
\[49 - a^2 + 8ab - 16 b^2 \]
\[ = 49 - ( a^2 - 8ab + 16 b^2 )\]
\[ = 49 - [ a^2 - 2 \times a \times 4b + (4b )^2 ]\]
\[ = 7^2 - (a - 4b )^2 \]
\[ = [7 - (a - 4b)][7 + (a - 4b)]\]
\[ = (7 - a + 4b)(7 + a - 4b)\]
\[ = - (a - 4b - 7)(a - 4b + 7)\]
\[ = - (a - 4b + 7)(a - 4b - 7)\]
APPEARS IN
RELATED QUESTIONS
Find the greatest common factor of the terms in each of the following expression:
3a2b2 + 4b2c2 + 12a2b2c2
Factorize each of the following algebraic expressions:
7a(2x − 3) + 3b(2x − 3)
Factorize each of the following algebraic expressions:
(x − y)2 + (x − y)
Factorize each of the following algebraic expression:
9z2 − x2 + 4xy − 4y2
Factorize each of the following algebraic expression:
a2 + 4b2 − 4ab − 4c2
Factorize each of the following algebraic expression:
40 + 3x − x2
Factorize each of the following algebraic expression:
a2 + 3a − 88
Factorize each of the following algebraic expression:
x2 + 14x + 45
Factorize each of the following algebraic expression:
(a + 7)(a − 10) + 16
Factorise the following expression.
a2b − ab
