Question

factorise x³-343 plzz answer this question

Answer 1

Factorising x³ - 343

We know that,
a³ - b³ = (a-b)(a² + ab + b²)

Here,
a = x and b = 7

x³ - 343 = x³ - 7³

x³ - 7³ = (x -7)(x² + 7x + 7²)
= (x - 7)(x² + 7x + 49)

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Now,
If we want the value of x

So,
x³ - 343 = 0

=> x³ = 343

=> x = cube root of 343

=> x = 7