Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
49 − x2 − y2 + 2xy
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
Factorize each of the following algebraic expressions:
9a(6a − 5b) −12a2(6a − 5b)
Factorize each of the following algebraic expressions:
3a(x − 2y) −b(x − 2y)
Factorize each of the following algebraic expressions:
4(x + y) (3a − b) +6(x + y) (2b − 3a)
Factorize each of the following expressions:
qr − pr + qs − ps
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − c2
Factorize each of the following algebraic expression:
x2 − 22x + 120
Factorize each of the following algebraic expression:
(a + 7)(a − 10) + 16
Factorise the following expression.
`"p"^2-1/25`
The value of p in the equation `(2"p")/3` = 10 is ________
