How do you factor by grouping $15 x^{3} - 6 x^{2} - 25 x + 10$ $15x^3- 6x^2- 25x +10$ ?

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Answer 1 · 2015-05-07T06:37:10

We can make groups of 2 to factorise this expression:

$(15 x^{3} - 6 x^{2}) - (25 x - 10)$ $(15x^3- 6x^2)- (25x -10)$

$3 x^{2}$ $3x^2$ is common to both the terms in the first group, and $5$ $5$ is common to both the terms in the second group

We can write the expression as :

$3 x^{2} (5 x - 2) - 5 (5 x - 2)$ $3x^2(5x - 2) - 5(5x - 2)$

The term $(5 x - 2)$ $(5x-2)$ is common to both the terms

$= (5 x - 2) (3 x^{2} - 5)$ $=color(green)((5x - 2)(3x^2 - 5)$

How do you factor by grouping 15x^3- 6x^2- 25x +1015x3−6x2−25x+1015x^3- 6x^2- 25x +10?