Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
a2 + 4b2 − 4ab − 4c2
Advertisements
Solution
\[49 - x^2 - y^2 + 2xy\]
\[ = 49 - ( x^2 - 2xy + y^2 )\]
\[ = 49 - ( x^2 - 2 \times x \times y + y^2 )\]
\[ = 7^2 - (x - y )^2 \]
\[ = [7 - (x - y)][7 + (x - y)]\]
\[ = (7 - x + y)(7 + x - y)\]
\[ = (x - y + 7)(y - x + 7)\]
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:
9a(6a − 5b) −12a2(6a − 5b)
Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)2
Factorize each of the following expressions:
qr − pr + qs − ps
Factorize each of the following algebraic expression:
4x2 + 12xy +9y2
Factorize each of the following algebraic expression:
9a2 − 24ab + 16b2
Factorize each of the following algebraic expression:
25 − p2 − q2 − 2pq
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
Factorise the following expression and write in the product form.
tr2s3
Factorise the following expression.
`"p"^2-1/25`
