Question

what is the formula of a plus one upon a whole cube​

Answer 1

plus b Whole Cube Formula :

In this section, we are going to see the formula/expansion for (a + b)3.

That is,

(a + b)3 = (a + b)(a + b)(a + b)

Multiply (a + b) and (a + b).

(a + b)3 = (a2 + ab + ab + b2)(a + b)

Simplify.

(a + b)3 = (a2 + 2ab + b2)(a + b)

(a + b)3 = a3 + a2b + 2a2b + 2ab2 + ab2 + b3

Combine the like terms.

(a + b)3 = a3 + 3a2b + 3ab2 + b3

or

(a + b)3 = a3 + b3 + 3ab(a + b)

a plus b Whole Cube Formula - Example Problems

Problem 1 :

Expand :

(x + 2)3

Solution :

(x + 2)3 is in the form of (a + b)3

Comparing (a + b)3 and (x + 2)3, we get

a = x

b = 2

Write the formula / expansion for (a + b)3.

(a + b)3 = a3 + 3a2b + 3ab2 + b3

Substitute x for a and 2 for b.

(x + 2)3 = x3 + 3(x2)(2) + 3(x)(22) + 23

(x + 2)3 = x3 + 6x2 + 3(x)(4) + 8

(x + 2)3 = x3 + 6x2 + 12x + 8

So, the expansion of (x + 2)3 is

x3 + 6x2 + 12x + 8

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