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Use suitable identity to find the following product: (3x + 4) (3x – 5) - Mathematics

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प्रश्न

Use suitable identity to find the following product:

(3x + 4) (3x – 5)

योग

उत्तर

Given, (3x + 4) (3x – 5)

Hence, using a suitable identity, 

(3x + 4) (3x – 5)

= (3x + 4) [3x + (–5)]

Using the identity (x + a) (x + b) = x2 + (a + b)x + ab, we get that,

(3x)2 + [4 + (–5)]3x + [4 × (–5)]

= 9x2 + (4 – 5)3x + (–20)

= 9x2 + (–1)3x – 20

= 9x2 – 3x – 20

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अध्याय 2: Polynomials - Exercise 2.5 [पृष्ठ ४८]

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एनसीईआरटी Mathematics [English] Class 9
अध्याय 2 Polynomials
Exercise 2.5 | Q 1.3 | पृष्ठ ४८

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