brookspearing brookspearing
  • 09-02-2021
  • Mathematics
contestada

Fully factorise
X^3 - 100

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 14-02-2021

Answer:

(x-10)(x²+10x+100)

Step-by-step explanation:

Given the expression

X^3 - 100

This ca also be expressed as;

X^3 - 100 = X³ - 10³

a³-b³ = (a-b)(a²+b²+ab)

Substitute a = x and b = 10

X³ - 10³ = (x-10)(x²+10²+10x)

X³ - 10³ = (x-10)(x²+10x+100)

Hence the factored form is (x-10)(x²+10x+100)

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