Math, asked by Anushkachatterjee, 1 year ago

find the product of (3x+4) (3x-5) using suitable identity

Answers

Answered by rsd742679
87

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Answered by SteffiPaul
14

Given,

  • (3x+4) (3x-5) is given.

To find,

  • We have to find the product of (3x+4) (3x-5) using a suitable identity.

Solution,

We can simply find the product of (3x+4) (3x-5) by using the following identity:

           (x+a)(x+b) = x²+(a+b)x+ab   (*)

where x = 3x, a = 4, b = -5

Using the above given values in (*), we get

           = (3x)² + (4-5)3x+ (4)(-5)

           =  9x² + (-1)(3x) -20

           =   9x² -3x -20

Hence, the product of (3x+4) (3x-5) using a suitable identity is 9x² -3x -20.

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