Home
Class 9
MATHS
Find the products: (3x+2y)(9x^2-6x y+4y^...

Find the products: `(3x+2y)(9x^2-6x y+4y^2)`

Text Solution

AI Generated Solution

To find the product of the expression \((3x + 2y)(9x^2 - 6xy + 4y^2)\), we can use the algebraic identity for the sum of cubes. Here’s a step-by-step solution: ### Step 1: Identify the terms We start with the expression: \[ (3x + 2y)(9x^2 - 6xy + 4y^2) \] We can recognize that \(9x^2 - 6xy + 4y^2\) can be expressed as \((3x)^2 - 2(3x)(2y) + (2y)^2\), which is the expansion of \((a - b)^2\) where \(a = 3x\) and \(b = 2y\). ...
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

Similar Questions

Explore conceptually related problems

Find the product: (3x+2y+2z)(9x^(2)+4y^(2)+4z^(2)-6xy-4yz-6zx)

Find the product: (3x-4y+5z)(9x^(2)+16y^(2)+25z^(2)+12xy-15zx+20yz)

Find the product: (3x-5y-4)(9x^(2)+25y^(2)+15xy+12x-20y+16)

Find the product. (x-2y+3)(x^2+4y^2+2xy+6y-3x+9)

Find the product. (3x-5y-4)(9x^2+25y^2+15xy-20y+12x+16)

Find the continued product: (2x+3y)(2x-3y)(4x^(2)+9y^(2))

Find the following products: (6x)/(5)(x^(3)+y^(3)) (ii) xy(x^(3)-y^(3))0.1y(0.1x^(5)+0.1y)( iv) (8)/(27)xyz((3)/(2)xyz^(2)-(9)/(4)xy^(2)z^(3))

Find the continued product: (i) (x + 1)(x - 1) (x^(2) + 1) (ii) (x - 3)(x + 3)(x^(2) + 9) (iii) (3x - 2y)(3x + 2y)(9x^(2) + 4y^(2)) (iv) (2p + 3)(2p - 3)(4p^(2) + 9)

Find each of the following products: (i) (4x - 7y) (4x - 7y) (ii) (3x^(2) - 4y^(2)) (3x^(2) - 4y^(2))

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))