Simplify: (2a+b)³+(2a-b)³
Answers
Answer:
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Step-by-step explanation:
From the rules of multiplication of sums and polynomials the following seven formulas of abridged multiplication can be easily received. It is necessary to know them by heart, as they are used in most of problems in mathematics.
[1] ( a + b )² = a² + 2ab + b² ,
[2] ( a – b )² = a² – 2ab + b² ,
[3] ( a + b ) ( a – b ) = a² – b²,
[4] ( a + b )³ = a³ + 3a² b + 3ab² + b³ ,
[5] ( a – b )³ = a ³ – 3a² b + 3ab² – b³ ,
[6] ( a + b )( a² – ab + b² ) = a³ + b³ ,
[7] ( a – b )( a ² + ab + b² ) = a³ – b³ .
Answer:
16a^3+2b^3
Step-by-step explanation:
let us take x = 2a
y = b
we know that,
(x+y) ^3+(x-y)^3 = 2x^3+2y^3
now substitute the values of x , y
2(2a)^3+2(b)^3
= 16a^3+ 2b^3
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