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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities2 Marks
Question
Find the following products: $\big(\text{x}+\frac{4}{3}\big)\big(\text{x}+\frac{3}{4}\big)$
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Answer

Here, we will use the identity$(x+a)(x+b)=x^2+(a+b) x+a b$.
$\big(\text{x}+\frac{4}{3}\big)\big(\text{x}+\frac{3}{4}\big)$
$=\text{x}^2+\big(\frac{4}{3}+\frac{3}{4}\big)\text{x}+\frac{4}{3}×\frac{3}{4}$
​​​​​​​$=\text{x}^2+\frac{25}{12}\text{x}+1$

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