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Find the Following Product: ( X + 4 3 ) ( X + 3 4 ) - Mathematics

Answer in Brief

Find the following product: \[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]

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Solution

 Here, we will use the identity‚Äč \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\].

\[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]

\[ = x^2 + \left( \frac{4}{3} + \frac{3}{4} \right)x + \frac{4}{3} \times \frac{3}{4}\]

\[ = x^2 + \frac{25}{12}x + 1\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.7 | Q 1.06 | Page 47
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