Advertisements
Advertisements
प्रश्न
Factorize `7(x - 2y)^2 - 25(x - 2y) + 12`
उत्तर
Let x - 2 y = P
= 7P2 - 25P +12
Splitting the middle term,
= 7P2 - 21P - 4P +12
= 7P ( P - 3) - 4 (P - 3)
= ( P - 3)(7P - 4)
Substituting P = x - 2y
= ( x - 2 y - 3)(7 ( x - 2 y ) - 4)
= ( x - 2 y - 3)(7x -14 y - 4)
∴ 7 ( x - 2 y)2 - 25( x - 2 y ) +12 = ( x - 2 y - 3)(7x -14 y - 4)
APPEARS IN
संबंधित प्रश्न
Factorize `x^2 + 5sqrt5x + 30`
(2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3
Factorize: x4 + x2 + 25.
Evaluate: - 4y (15 + 12y - 8z) (x - 2y)
Multiply: (2x - 3y)(2x + 3y)
Divide: 10a3 - 15a2b by - 5a2
When y = –1, the value of the expression 2y – 1 is 3
The figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.
A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?
Match Column I with Column II in the following:
| Column I | Column II |
| 1. The difference of 3 and a number squared | (a) 4 – 2x |
| 2. 5 less than twice a number squared | (b) n2 – 3 |
| 3. Five minus twice the square of a number | (c) 2n2 – 5 |
| 4. Four minus a number multiplied by 2 | (d) 5 – 2n2 |
| 5. Seven times the sum of a number and 1 | (e) 3 – n2 |
| 6. A number squared plus 6 | (f) 2(n + 6) |
| 7. 2 times the sum of a number and 6 | (g) 7(n + 1) |
| 8. Three less than the square of a number | (h) n2 + 6 |
