Question

(x+2/3)^3 how to solve the problem

Answer 1

Hey friend,
Here is the answer you were looking for:

$(x + \frac{2}{3} )^{3}$
we know that
${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b)$
So,
${(x)}^{3} + {( \frac{2}{3}) }^{3} + 3 \times x \times \frac{2}{3} (x + \frac{2}{3} ) \\ \\ = {x}^{3} + \frac{8}{27} + \frac{6x}{3} (x + \frac{2}{3} ) \\ \\ = {x}^{3} + \frac{8}{27} + 2x \times x + 2x \times \frac{2}{3} \\ \\ = {x}^{3} + \frac{8}{27} + {2x}^{2} + \frac{4x}{3} \\ \\ = \frac{ {x}^{3} \times 27 + 8 \times 1 + {2x}^{2} \times 27 + 4x \times 9 }{27} \\ \\ = \frac{27 {x}^{3} + 8 + {54x}^{2} + 36 }{27}$
Hope this helps!!!

@Mahak24

Thanks...
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