Home
Class 8
MATHS
Simplify: (2x+3y)(3x+4y)-(7x+3y)(x+2y)...

Simplify: `(2x+3y)(3x+4y)-(7x+3y)(x+2y)`

Text Solution

AI Generated Solution

To simplify the expression \((2x + 3y)(3x + 4y) - (7x + 3y)(x + 2y)\), we will follow these steps: ### Step 1: Expand the first product \((2x + 3y)(3x + 4y)\) Using the distributive property (also known as the FOIL method for binomials), we multiply each term in the first bracket by each term in the second bracket: \[ (2x + 3y)(3x + 4y) = 2x \cdot 3x + 2x \cdot 4y + 3y \cdot 3x + 3y \cdot 4y \] ...
Promotional Banner

Topper's Solved these Questions

  • COMPOUND INTEREST

    RD SHARMA|Exercise All Questions|129 Videos

Similar Questions

Explore conceptually related problems

Simplify: (2x + 5y)(3x + 4y) - (7x + 3y)(2x + y)

Simplify: 5 (x + 3y) -2 (3x-4y)

Simplify: (3x+2y)(4x+3y)-(2x-y)(7x-3y)

Simplify: :x^(2)(x+2y)(x-3y)

Simplify : ( 3y ( x - y) - 2x ( y -2x))/( 7x ( x - y) - 3 ( x ^(2) - y ^(2)))

Simplify : 7x^(3)+8y^(3)-(4x+3y)(16x^(2)-12xy+9y^(2))

Simplify : (i) (5x - 9y) - (-7x + y) (ii) (x^(2) -x) -(1)/(2)(x - 3 + 3x^(2)) (iii) [7 - 2x + 5y - (x -y)]-(5x + 3y -7) (iv) ((1)/(3)y^(2) - (4)/(7)y + 5) - ((2)/(7)y - (2)/(3)y^(2) + 2) - ((1)/(7)y - 3 + 2y^(2))

Simplify (2x + y) (1 + 4x + 3y) -6x (x + y)

Simplify: (x+y)^(3)-(x-y)^(3)-6y(x^(2)-y^(2))