Rewrite 125 together 53 . Since both terms space perfect cubes, factor making use of the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) whereby a=x and b=5 .

You are watching: How to factor x^3-125

Click come see full answer. Consequently, what is the factored kind of x 3 125?

Factor x3125 together (a – b)(a2 + abdominal + b2), substituting a = x and also b = 5 into the expression. Square the very first and last terms, and rewrite (x)(5) as 5x. Let"s see what wake up if friend don"t variable out the usual factor first. In this example, it have the right to still it is in factored together the distinction of two cubes.

One may additionally ask, what is the cube the 4? Square, Cube, Square Root and also Cubic Root because that Numbers ranging 0 - 100 Number x Square x2 Cube x3
5 25 125
6 36 216
7 49 343
8 64 512

likewise one might ask, how do you factor 125?

The factors the 125. Answer : 1,5,25,125, Related links : Is 125 a rational number?

What is the element of x 3 1?

Algebra Examples since both terms are perfect cubes, factor making use of the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) whereby a=x and b=1 . Simplify. Main point x x by 1 1 . One to any power is one.

### What is sum cube?

A amount of cubes is a two-term expression whereby both terms room cubes and each term has the very same sign. The is factored according to the following formula. Next, we"ll see just how you deserve to determine if one expression can be factored together a sum of cubes.

### How execute you variable 1 x 3?

Rewrite 1 as 13 . Because both terms space perfect cubes, factor using the distinction of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) whereby a=1 and also b=x . Simplify.

### How carry out you variable the amount of a cube?

Then an alert that every formula has actually only one "minus" sign. The distinction between the 2 formulas is in the location of the one "minus" sign: because that the difference of cubes, the "minus" authorize goes in the straight factor, a – b; because that the amount of cubes, the "minus" sign goes in the quadratic factor, a2 – abdominal + b2.

### Is over there a cubic formula?

A cubic equation is one equation which have the right to be stood for in the kind a x 3 + b x 2 + c x + d = 0 ax^3+bx^2+cx+d=0 ax3+bx2+cx+d=0, wherein a , b , c , d a,b,c,d a,b,c,d are facility numbers and also a is non-zero. Through the an essential theorem that algebra, cubic equation always has 3 roots, few of which can be equal.

### How execute you factor Trinomials?

To variable a trinomial in the form x2 + bx + c, find two integers, r and s, who product is c and whose amount is b. Rewrite the trinomial together x2 + rx + sx + c and also then use grouping and the distributive residential property to element the polynomial. The resulting components will it is in (x + r) and also (x + s).