Home
Class 9
MATHS
Factorize: a^3x^3-3a^2b x^2+3a b^2x-b^3...

Factorize: `a^3x^3-3a^2b x^2+3a b^2x-b^3`

Text Solution

AI Generated Solution

To factorize the expression \( a^3x^3 - 3a^2bx^2 + 3ab^2x - b^3 \), we can follow these steps: ### Step 1: Identify the structure of the expression The expression resembles the form of a cubic polynomial. We can start by recognizing that it can be grouped as a cube minus another cube. ### Step 2: Rewrite the expression We can rewrite the expression as: \[ ...
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS OF REAL NUMBER

    RD SHARMA|Exercise All Questions|186 Videos

  • FACTORIZATION OF POLYNOMIAL

    RD SHARMA|Exercise All Questions|220 Videos

Similar Questions

Explore conceptually related problems

Factorise a^3x^3-3a^2bx^2+3ab^2x-b^3

Factorize : 64a^(3)+125b^(3)+240a^(2)b+300ab^(2)(8)/(27)x^(3)+1+(4)/(3)x^(2)+2xx^(3)+8y^(3)+6x^(2)y+12xy^(2)8a^(3)-27b^(3)-36a^(2)b+54ab^(2)x^(3)-12x(x-4)-64

factorize 2x^(2) - 5xy + 3y^(2) , and use your result to factorize 2(3a-b)^(2) - 5(3a-b)(2a-b) + 3(2a-b)^(2) . The factors are

Factorize :12x^(3)y^(3)+16x^(2)y^(5)-4x^(5)y^(2)18a^(3)b^(2)+36ab^(4)-24a^(2)b^(3)

(x+y)^(3)-(x-y)^(3) can be factorized as 2y(3x^(2)+y^(2)) (b) 2x(3x^(2)+y^(2))2y(3y^(2)+x^(2)) (d) 2x(x^(2)+3y^(2))

(b) Factorize 4x^(3) - 10y^(3) - 8x^(2) y + 5xy^(2)

intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k

Find the value of a and b if (x-1) and (x+1) are factors of x^4 + ax^3 - 3x^2 + 2x + b

Add the following expressions: (i) x^3-2x^2y+3x y^2-y^3,\ 2x^3-5x y^2+3x^2y-4y^3 (ii) a^2-2a^3b+3a b^3+4a^2b^2+3b^4,-2a^4-5a b^3+7a^3b-6a^2b^2+b^4