Question

Factorise 7x² + 14xy - 21xyz (SHOW STEPS)

Answer 1

Answer:

$7x(x+2y-3yz)$

Step-by-step explanation:

First we find the greatest common factor of the coefficients, 7, 14 and 21.

The greatest common factor is 7.

Factor 7 out and divide the terms by 7:

$7x^2+14xy-21xyz=7(x^2+2xy-3xyz)$

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Next, we find the greatest common factor of $x^2,xy$ and $xyz$.

The greatest common factor is x.

Factor x out and divide the terms by x:

$7(x^2+2xy-3xyz)=7x(x+2y-3yz)$