Question

factorise 27x³- 1/343y³​

Answer 1

Hey!

$\sf \large \underline\purple{ Given - }$

$\star \: \: \: \: \: \: \rm{ {27x}^{3} - \frac{1}{ {343y}^{3} } }$

$\sf \large \underline\purple{ to \: find \: - }$

$\star$ we have to factories the given equation.

$\sf \large \underline\purple{ using \: formula \: - }$

$\green \star \green{\boxed{ {a}^{3} - {b}^{3} = {a}^{3} - 3 {a}^{2}b + 3a {b}^{2} - b ^{3} }}$

$\sf \large \underline\purple{ Solution \: : - }$

Here , we have

a = 3x

b = 1/7y

Simply , put the value of a and b in the given formula ,

then , we get

$\longrightarrow \: (3x)^{3} - 3 \times (3x) ^{2} \times (\frac{1}{{{7y} }} ) + 3 \times 3x\times ( \frac{1}{7y} ) ^{2} - (\frac{1}{7y} ) ^{3}$

$\longrightarrow \: (729x)^{3} - 3 \times (3x) ^{2} \times (\frac{1}{{{343y} }} ) + 3 \times 3x\times ( \frac{1}{3y} ) ^{4} - (\frac{1}{7y} ) ^{3}$

Answer 2

Answer:

hope it helps☺☺....

Step-by-step explanation:

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