Advertisements
Advertisements
प्रश्न
Factorize `7(x - 2y)^2 - 25(x - 2y) + 12`
Advertisements
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
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Numbers x and y both squared and added.
Factorize xy9 - yx9
Factorize 8a3 + 27b3 + 36a2b + 54ab2
`(x/2 + y + z/3)^3 + (x/2 + (2y)/3 + z)^3 + (-(5x)/6 - y/3 - (4z)/3)^3`
If x − y = 7 and xy = 9, find the value of x2 + y2
If 3x + 5y = 11 and xy = 2, find the value of 9x2 + 25y2
Write the value of \[\left( \frac{1}{2} \right)^3 + \left( \frac{1}{3} \right)^3 - \left( \frac{5}{6} \right)^3 .\]
The expression (a − b)3 + (b − c)3 + (c −a)3 can be factorized as
Rohan’s mother gave him ₹ 3xy2 and his father gave him ₹ 5(xy2 + 2). Out of this total money he spent ₹ (10 – 3xy2) on his birthday party. How much money is left with him?
Express the following properties with variables x, y and z.
Commutative property of addition
