Question

factorise :
67^3+33^3
-------------------------
67^2+33^2-67*33

Answer 1

Question :-

• Solve (67³ + 33³) / (67² + 33² - 67*33) ?

Formula used :-

• (a³ + b³) = (a + b)(a² + b² - ab)

Solution :-

→ (67³ + 33³) / (67² + 33² - 67*33)

using (a³ + b³) = (a + b)(a² + b² - ab) in Numerator we get,

→ { (67 + 33)(67² + 33² - 67*33) } / (67² + 33² - 67*33)

→ (67 + 33)

→ 100 (Ans).

Answer 2

$\huge \mathfrak \red{answer}$

$\rm \blue{100}$

______________________________

❀ Question:❀

$\sf{ \frac{ {67}^{3} + {33}^{3} }{ {67}^{2} + {33}^{2} - 67 \times 33} }$

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✿step to step explanation✿

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➷now formula is

$\sf \red{( {a}^{3} + {b}^{3}) = (a + b)( {a}^{2} + {b}^{2} - ab}$

➷according to the problem we have to used with formula we get

$\sf{ \frac{(67 + 33)( {67}^{2} + {33}^{2} - 67 \times 33) } { {67}^{2} + {33}^{2} - 67 \times 33)} }$

so

$\sf{67 + 33}$

$\sf \red{100}$