Advertisements
Advertisements
Question
Factorise the following expression.
2x2 − 8y2
Advertisements
Solution
2x2 − 8y2
= 2(x2 − 4y2)
Let us recognize it as the difference of the squares of a and b.
a = x2
b = 4y2 = 2y2
a2 − b2 = (a + b)(a − b)
= 2 [(x)2 − (2y)2]
= 2 (x + 2y) (x − 2y)
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)
Factorize each of the following algebraic expressions:
a2(x + y) +b2(x + y) +c2(x + y)
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:
a2 − 2ab + b2 − c2
Factorize each of the following algebraic expressions:
x2 + 9y2 − 6xy − 25a2
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − c2
Factorize each of the following algebraic expression:
(a2 − 5a)2 − 36
Factorise the following expression.
y2 − 4
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 |
