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