Advertisements
Advertisements
प्रश्न
Factorize a3 – 3a2b + 3ab2 – b3 + 8
Advertisements
उत्तर
a3 - 3a2b + 3ab2 - b3 + 8
= (a - b)3 + 8 [∵ a3 - b3 - 3a2b + 3ab2 = (a - b)3
= (a - b)3 + 23
= (a - b + 2)((a - b)2 - (a - b)2 + 22 ) [∵ a3 + b3 = (a + b)(a2 - ab + b2)]
= (a - b + 2)(a2 + b2 - 2ab - 2(a - b) + 4)
= (a - b + 2)(a2 + b2 - 2ab - 2a + 2b + 4)
∴ a3 - 3a2b + 3ab2 - b3 + 8 = (a - b + 2)(a2 + b2 - 2ab - 2a + 2b + 4)
APPEARS IN
संबंधित प्रश्न
27x3 − y3 − z3 − 9xyz
Find the value of x3 + y3 − 12xy + 64, when x + y =−4
The value of \[\frac{(0 . 013 )^3 + (0 . 007 )^3}{(0 . 013 )^2 - 0 . 013 \times 0 . 007 + (0 . 007 )^2}\] is
Write the number of the term of the following polynomial.
ax – by + y x z
Multiply: (x - a)(x + 3b)
Divide: 12a2 + ax - 6x2 by 3a - 2x
Express the following as an algebraic expression:
The sum of x and y minus m.
Write the coefficient of x2 and x in the following polynomials
`sqrt(3)x^2 + sqrt(2)x + 0.5`
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.
In the term 10xyz, what is the numerical coefficient?
