Question

simplify it. please help me . ​

Answer 1

ii) Solution :-

$\sf \longrightarrow \left( 3^2 - 2^2 \right) \times \left(\dfrac{2}{3}\right)^{-3} \\\\\sf \longrightarrow 9 - 4 \times \left( \dfrac{2^{-3}}{3^{-3}} \right) \\\\\sf \longrightarrow 5 \times \dfrac{\frac{1}{2^3}}{\frac{1}{3^3}} \\\\\sf \longrightarrow 5 \times \dfrac{27}{8} \\\\\bf \longrightarrow\boxed{ \dfrac{135}{8} }$

iii) Solution :-

$\sf \longrightarrow \left(4 + 9 - 16\right) \div \left(\dfrac{3^2}{2^2}\right) \\\\\sf \longrightarrow -3 \div \dfrac{9}{2} \\\\\bf \longrightarrow \boxed{ \dfrac{-27}{2}}$

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More formulas

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• (a + b)(a - b) = a² - b²
• (a + b)² - 2ab = a² + b²
• (a + b + c)² = a² + b² + c² + 2abc(ab + bc + ac)