MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Factorisation by Regrouping Terms

Factorise the...

Question

Factorise the following:
$27 - 125 x^{3} - 135 x + 225 x^{2}$

Open in App

Solution

$27 - 125 x^{3} - 135 x + 225 x^{2}$

$= (3)^{3} - (5 x)^{3} - 3 (3) (5 x) [3 - 5 x]$

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

$[∵ (a - b)^{3} = a^{3} - b^{3} - 3 a b (a - b)]$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Factorise the following:

125 x^{3} - 8 y^{3}

Q. Factorise the following:

125 x^{3} + 64 y^{3} - 300 x^{2} y + 240 x y^{2}

225 x^{2} - 180 x y + {36 y}^{2}

Q. Factorise:

(1) x² − 2x − 99
(2) 3p² − 10p − 25
(3) 125x³ − 216y³
(4) 128 + 2x³

Q. Factorise the following:

x^{6} - 26 x^{3} - 27

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Method of Common Factors

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Factorisation by Regrouping Terms

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon