Question

evalute each of the following using identities (a+1/3) (a-2/3)​

Answer 1

$\underline{\boxed{\bold{Question}}}$  

↠ Evaluate each of the following using identities (a+1/3)(a-2/3)​

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$\underline{\boxed{\bold{Important\;Information}}}$  

↠ Algebraic identities are simple formulas that leads to easy calculation for problems related to algebraic operations.

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$\underline{\boxed{\bold{Important\;Identities}}}$  

$\bold{\red{\Longrightarrow (a+b)^{2} = a^{2} + 2ab+ b^{2} }}$

$\bold{\blue{\Longrightarrow (a-b)^{2} = a^{2} - 2ab+ b^{2} }}$

$\bold{\green{\Longrightarrow a^{2} - b^{2} = (a+b)(a-b) }}$

$\bold{\purple{\Longrightarrow (x+a)(x+b) = x^{2} +(a+b)x+ab }}$

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$\underline{\boxed{\bold{Answer}}}$

Let's Start !

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Let's use last identity to solve this question !

$\Longrightarrow (a+\frac{1}{3} )(a+(\frac{-2}{3})) = a^{2} +(\frac{1}{3}+\frac{-2}{3})x+(\frac{1}{3} \times \frac{-2}{3} )$

$\Longrightarrow (a+\frac{1}{3} )(a+(\frac{-2}{3})) = a^{2} +(\frac{-1}{3})x-(\frac{2}{9})$

$\Longrightarrow (a+\frac{1}{3} )(a+(\frac{-2}{3})) = a^{2} -(\frac{1}{3})x-(\frac{2}{9})$

$\boxed{\Longrightarrow (a+\frac{1}{3} )(a+(\frac{-2}{3})) = a^{2} -\frac{1}{3}x-\frac{2}{9}}$

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$\boxed{\bold{\red{\therefore (a+\frac{1}{3} )(a-\frac{2}{3}) = a^{2} -\frac{1}{3}x-\frac{2}{9}}}}$

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Hope this helps u.../

【Brainly Advisor】