Advertisements
Advertisements
प्रश्न
Factorize 64a3 +125b3 + 240a2b + 300ab2
Advertisements
उत्तर
64a3 +125b3 + 240a2b + 300ab2
= (4a)3 + (5b)3 + 3 x (4a)2 x 5b + 3(4a)(5b)2
= (4a + 5b)3 [∵ a3 + b3 + 3a2b + 3ab2 = (a + b)3]
= (4a + 5b)(4a + 5b)(4a + 5b)
∴ 64a3 +125b3 + 240a2b + 300ab2 = (4a + 5b)(4a + 5b)(4a + 5b)
APPEARS IN
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operation.
Subtraction of z from y
Factorize 4( x - y)2 -12( x - y)( x + y ) + 9(x + y )2
Factorize `5sqrt5x^2 + 20x + 3sqrt5`
Factorize 2( x + y)2 - 9( x + y) - 5
Factorize the following expressions:
a3 + 3a2b + 3ab2 + b3 - 8
Factorize `8/27 x^3 + 1 + 4/3 x^2 + 2x`
If x2 + y2 = 29 and xy = 2, find the value of x - y.
The largest number of the three consecutive numbers is x + 1, then the smallest number is ________
If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has ______ more toffees.
Sonu and Raj have to collect different kinds of leaves for science project. They go to a park where Sonu collects 12 leaves and Raj collects x leaves. After some time Sonu loses 3 leaves and Raj collects 2x leaves. Write an algebraic expression to find the total number of leaves collected by both of them.
