Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
49 − x2 − y2 + 2xy
Advertisements
Solution
\[49 - x^2 - y^2 + 2xy\]
\[ = 49 - ( x^2 - 2xy + y^2 )\]
\[ = 49 - ( x^2 - 2 \times x \times y + y^2 )\]
\[ = 7^2 - (x - y )^2 \]
\[ = [7 - (x - y)][7 + (x - y)]\]
\[ = (7 - x + y)(7 + x - y)\]
\[ = (x - y + 7)(y - x + 7)\]
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)
Factorize each of the following expressions:
qr − pr + qs − ps
Factorize each of the following algebraic expression:
36a2 + 36a + 9
Factorize each of the following algebraic expression:
9a4 − 24a2b2 + 16b4 − 256
Factorize each of the following algebraic expression:
16 − a6 + 4a3b3 − 4b6
Factorize each of the following algebraic expression:
x2 + 2x + 1 − 9y2
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
Factorise the following expressions and write them in the product form.
5t2
The value of m in the equation 8m = 56 is ________
