Before discovering the (x+1)^3 expand formula, let us recall what is a binomial. A binomial is an algebraic expression through specifically 2 terms. We deserve to expand (x+1)^3 by multiplying (x+1)(x+1)(x+1) manually. Let us learn the (x+1)^3 expand also formula.

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What Is the (x+1)^3 Formula?

The (x+1)3 formula is a one-of-a-kind algebraic identity formula offered to resolve cube of a specialtype of binomial. The (x+1)3 formula deserve to be conveniently broadened by multiplying (x+1) thrice. To simplify the (x+1)3 formula better, after multiplying we just incorporate the choose terms andthe favor variables together. Finally, we will arrange our algebraic expressionsaccording to the enhancing order of the exponential power.

(x+1)3=x3 + 3x2 + 3x + 1

The development of formula(x+1)^3 is(x+1)3= (x+1)(x+1)(x+1)

In our next heading we will certainly see the additionally simplification of the (x+1)3formula.

Proof of(x+1)^3 Formula

The(x+1)3formula have the right to be showed or showed by multiplying (x + 1) 3 times, i.e,

(x+1)3=(x+1)(x+1)(x+1)(x+1)3= (x + 1)=(x + 1)= x3 + 2x2 + x + x2 + 2x + 1= x3 + 3x2 + 3x + 1

Because of this,(x+1)3=x3 + 3x2 + 3x + 1


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Examples on(x+1)^3 Formula

Example 1:Find the development of(a+1)^3.

Solution:

Using the(x+1)^3 growth formula:

(x+1)3=x3+3x2+ x+ 1

Comparing and putting the values,

(a+1)3= a3+3a2+ a + 1

Answer: The growth of(a+1)^3 isa3+3a2+ a + 1.

Example 2:Expand (1+t)^3.

Solution:

Using (x+1)^3 expansion formula:

(x+1)3=x3+3x2+ x+ 1

Comparing and also putting the values,

(1+t)3= t3+3t2+ t + 1

Answer: The expansion of(1+t)^3is t3+3t2+ t + 1.

Example 3:Simplify (2x +1)3 using(x+1)^3 development formula

Solution:

Using (x+1)^3 growth formula:

(x+1)3=x3+3x2+ x+ 1

Comparing and putting the values,

(2x +1)3= (2x)3+3(2x)2+ 2x + 1= 8x3 + 12x2+ 2x + 1

Answer:(2x + 3)3=8x3 + 12x2+ 2x + 1


FAQs on (x+1)^3 Formula

What Is the Expansion of (x +1)3Formula?

(x +1)3formula is review as x plus 1 whole cube. Its growth is expressed as(x +1)3=x3+3x2+ x+ 1.

What Is the(x +1)3Formula in Algebra?

The (x +1)3formula is one of the importantalgebraic identities. It is review as xplus 1 whole cube. Its (x +1)3formula is expressed as(x +1)3=x3+3x2+ x+ 1.

How To Expand also the(x +1)3Formula?

To expand (x +1)3formula we need tomultiply (x + 1) three timesas shown below:

Step1: (x+1)3= (x+1)(x+1)(x+1)Tip 2: (x + 1)Step 3: (x + 1)Tip 4: x3 + 2x2 + x + x2 + 2x + 1Tip 5: x3 + 3x2 + 3x + 1

How To Use the(x +1)3Formula Give Steps?

The complying with measures are complied with while using(x +1)3formula.

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Write dvery own the formula of(x +1)3(x +1)3=x3+3x2+ x+ 1.Substitute the worths in the(x +1)3formula and simplify.