Question

(X + 2 )power cube +( X - 2) power cube gives what, plz answer me with process​

Answer 1

$\\ \tt \: ( {x + 2)}^{3} + ( {x +2 )}^{2} \\ \\ \\ \boxed{ \sf \: ( {a + b)}^{3} = {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} } \\ \\ \boxed{ \sf( {a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} } \\ \\ \sf \: here..... \\ \: \: \: \: \: \: \: \: \: \rm{a = x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: b = 2} \\ \\ \\ = \tt \: {x}^{3} + 3 {x}^{2} (2) + 3x( {2}^{2} ) + {2}^{3} \\ \: \: \: \: \: \: \: \: \: \tt \: + {x}^{2} +2 (x)(2) + {2}^{2} \\ \\ \ \\ \tt \: = {x}^{3} + 6 {x}^{2} + 12x + 8 + {x}^{2} + 4x + 4 \\ \\ \\ \tt \: = {x}^{3} + 7 {x}^{2} + 16x + 12$

Other identities :-

• a² - b² = (a+b)(a-b)

• (a+x)(a+y) = a² + (x+y)a + xy

• (a-b)³ = a³ - 3a²b + 3ab² - b³

• a³ + b³ = (a+b)(a²-ab+b²)

• a³-b³ = (a-b)(a²+ab+b²)