Advertisements
Advertisements
प्रश्न
Factorize `9(2a - b)^2 - 4(2a - b) - 13`
Advertisements
उत्तर
Let 2a - b = x
= 9x2 - 4x -13
Splitting the middle term,
= 9x2 -13x + 9x -13
= x (9x -13) +1(9x -13)
= (9x -13)( x +1)
Substituting x = 2a - b
= [9 (2a - b) -13] (2a - b +1)
= (18a - 9b -13)(2a - b +1)
∴ 9(2a - b)2 - 4(2a - b) -13 = (18a - 9b -13)(2a - b +1)
APPEARS IN
संबंधित प्रश्न
Factorize the following expressions:
x3y3 + 1
Factorize 8x2 + y3 +12x2 y + 6xy2
Factorize 8a3 + 27b3 + 36a2b + 54ab2
`1/27 x^3 - y^3 + 125z^3 + 5xyz`
Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`
Evaluate:
(i) (a + b)(a - b)
(ii) (a2 + b2)(a + b)(a - b); using the result of (i).
(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).
Multiply: (2x + 3y)(2x + 3y)
Write in the form of an algebraic expression:
Surface area of a cube is six times the square of its edge.
An algebraic statement which is equivalent to the verbal statement “Three times the sum of ‘x’ and ‘y’ is
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.
