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
Find the greatest common factor of the terms in each of the following expression:
5a4 + 10a3 − 15a2
Factorize each of the following algebraic expressions:
a2(x + y) +b2(x + y) +c2(x + y)
Factorize each of the following algebraic expressions:
(x − y)2 + (x − y)
Factorize each of the following algebraic expression:
16 − a6 + 4a3b3 − 4b6
Factorize each of the following algebraic expression:
a4 + 3a2 +4
Factorize each of the following algebraic expression:
a2 + 3a − 88
Factorize each of the following algebraic expression:
x2 − 22x + 120
Factorize each of the following algebraic expression:
a2 + 14a + 48
Factorise the following expression.
4x2 − 25y2
Match the following :
| Column A | Column B |
| (a) `x/2` = 10 | (i) x = 4 |
| (b) 20 = 6x − 4 | (ii) x = 1 |
| (c) 2x − 5 = 3 − x | (iii) x = 20 |
| (d) 7x − 4 − 8x = 20 | (iv) x = `8/3` |
| (e) `4/11 - x = (-7)/11` | (v) x = −24 |
