Advertisements
Advertisements
Question
Factorize each of the following algebraic expressions:
(2x − 3y)(a + b) + (3x − 2y)(a + b)
Advertisements
Solution
\[(2x - 3y)(a + b) + (3x - 2y)(a + b)\]
\[ = (2x - 3y + 3x - 2y)(a + b) [\text{ Taking }(a + b)\text{ as the common factor }]\]
\[ = (5x - 5y)(a + b)\]
\[ = 5(x - y)(a + b) [\text{ Taking 5 as the common factor of }(5x - 5y)]\]
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
6x(2x − y) + 7y(2x − y)
Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)
Factorize each of the following algebraic expressions:
−4(x − 2y)2 + 8(x −2y)
Factorize each of the following expressions:
p2q − pr2 − pq + r2
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorize each of the following algebraic expression:
40 + 3x − x2
Factorize each of the following algebraic expression:
x2 − 4x − 21
Factorise the following expression.
4x2 − 25y2
The value of p in the equation `(2"p")/3` = 10 is ________
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 |
