Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
x2 − y2 + 6y − 9
Advertisements
उत्तर
\[x^2 - y^2 + 6y - 9\]
\[ = x^2 - ( y^2 - 6y + 9)\]
\[ = x^2 - ( y^2 - 2 \times y \times 3 + 3^2 )\]
\[ = x^2 - (y - 3 )^2 \]
\[ = [x - (y - 3)][x + (y - 3)]\]
\[ = (x - y + 3)(x + y - 3)\]
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
a2(x + y) +b2(x + y) +c2(x + y)
Factorize each of the following algebraic expressions:
4(x + y) (3a − b) +6(x + y) (2b − 3a)
Factorize each of the following algebraic expression:
9a2 − 24ab + 16b2
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − 16
Factorize each of the following algebraic expression:
25 − p2 − q2 − 2pq
Factorize each of the following algebraic expression:
25x2 − 10x + 1 − 36y2
Factorize each of the following algebraic expression:
(a + 7)(a − 10) + 16
Factorise the following expression and write in the product form.
24a2b2
Factorise the following expression.
`"p"^2-1/25`
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 |
