Question

If m ∆ n means m²- 2mn + n³, find the value of 3 ∆ 2

Answer 1

❥Answer :

→ m + n = 5

→ Squaring on both the sides !!!

→ (m + n)^2 = 25

→ 25= m^2 + 2mn + n^2

→ 25 = m^2 + n^2 + 2(6)

→ m^2 + n^2 = 25 - 12

→ m^2 + n^2 = 13

❥Now :

→ m^3 + n^3 = (m+n)(m^2 - mn + n^2)

→ m^3 + n^3 = 5 ( 13 - 6 )

→ 5 × 7

→ 35

❥Therefore :

$\tt{({m}^{2} + {n}^{2} )({m}^{3} + {n}^{3})}$