Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
p3 + 27
Advertisements
उत्तर
p3 + 27
= p3 + 33
= ( p + 3)( p2 - 3p + 32 ) [∵ a3 + b3 = (a + b)(a2 - ab + b2 )]
= ( p + 3)( p2 - 3 p + 9)
∴ p3 + 27 = ( p + 3)( p2 - 3 p + 9)
APPEARS IN
संबंधित प्रश्न
Factorize the following expressions:
( x + 2)3 + ( x - 2)3
(a – 3b)3 + (3b – c)3 + (c – a)3
Find the value of x3 + y3 − 12xy + 64, when x + y =−4
Separate monomials, binomials, trinomials and polynomials from the following algebraic expressions :
8 − 3x, xy2, 3y2 − 5y + 8, 9x − 3x2 + 15x3 − 7,
3x × 5y, 3x ÷ 5y, 2y ÷ 7 + 3x − 7 and 4 − ax2 + bx + y
Divide: p2 + 4p + 4 by p + 2
Write in the form of an algebraic expression:
Area of a square is square of its side.
Express the following as an algebraic expression:
The sum of x and y minus m.
Find the average (A) of four quantities p, q, r and s. If A = 6, p = 3, q = 5 and r = 7; find the value of s.
A triangle is made up of 2 red sticks and 1 blue sticks 
. The length of a red stick is given by r and that of a blue stick is given by b. Using this information, write an expression for the total length of sticks in the pattern given below:
Shashi used addition to solve a word problem about the weekly cost of commuting by toll tax for ₹ 15 each day. Ravi solved the same problem by multiplying. They both got the correct answer. How is this possible?
