Advertisements
Advertisements
प्रश्न
Factorise the following expression.
`1/2y^2-8z^2`
Advertisements
उत्तर
`1/2y^2 - 8z^2`
= `1/2(y^2 - 16z^2)`
a2 − b2 = (a + b) (a − b)
a = y2
b = 42 = 16
∴ = `1/2[(y)^2 - (4z)^2]`
`1/2(y^2 - 16z^2) = 1/2(y + 4z)(y - 4z)`
संबंधित प्रश्न
Find the greatest common factor of the terms in each of the following expression:
5a4 + 10a3 − 15a2
Find the greatest common factor of the terms in each of the following expression:
2xyz + 3x2y + 4y2
Factorize each of the following algebraic expressions:
9a(6a − 5b) −12a2(6a − 5b)
Factorize each of the following algebraic expression:
a2 + 4ab + 3b2
Factorize each of the following algebraic expression:
x2 − 11x − 42
Factorize each of the following algebraic expression:
x2 − 4x − 21
Factorize each of the following algebraic expression:
(a2 − 5a)2 − 36
Factorise the following expression.
p2 − q2
Factorise the following expression and write them in the product form.
6 ab2.
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 |
