Factorise: 15x3 y2 z - 25 x y2 z3

1.	Factorise: 15x3 y2 z - 25 x y2 z3
Answer» 15x³y²z = 3 × 5 × x × x × x × y × y × z 25xy²z³ = 5 × 5 × x × y × y × z × z × z The common factors are 5, x, y and z. 15x³y²z - 25xy²z³ =(3 × 5 × x × x × x × y × y × z) - (5 × 5 × x × y × y × z × z × z) = 5 × x × y × y × z (3 × x × x - 5 × z × z) = 5xy²z (3x² - 5z²)

Answer»

15x³y²z = 3 × 5 × x × x × x × y × y × z

25xy²z³ = 5 × 5 × x × y × y × z × z × z

The common factors are 5, x, y and z.

15x³y²z - 25xy²z³

=(3 × 5 × x × x × x × y × y × z) - (5 × 5 × x × y × y × z × z × z)

= 5 × x × y × y × z (3 × x × x - 5 × z × z)

= 5xy²z (3x² - 5z²)

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Factorise: 15x3 y2 z - 25 x y2 z3

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