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Factorise the following expressions -16z + 20z^3 Factorise the following expressions -16z + 20z^3

Factorise the following expressions
-16z + 20z^3
Factorise the following expressions
-16z + 20z^3

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

- 16z = – 2 x 2 x 2 × 2 × z
20 z^3 = 2 x 2 x 5 × z × z × z
The commom factors are 2, 5 and z
-16z + 20z^3= – (2 x 2 x 2 × 2 × z ) + ( 2 x 2 x 5× z × z × z )
= – ( 2 x 2 x z ) [ 2 x 2 x z + 5 x z x z ]
​ = 4z (- 4z + 5z^2)

Thanks

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