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Question

(3x+4)(3x-5) how to do it by using identities?


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Solution

Step 1: Find the product of (3x+4) (3x-5) using a suitable identity.

(3x+4)(3x-5) is given.

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 x3x,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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