Question

Factorise-
48x³-36x²

Answer 1

given : Algebraic expression, 48x³ - 36x²

To find : Factorisation of 48x³ - 36x²

solution : 48x³ - 36x²

write 48x³ into simpler form,

i.e., 48x³ = 2 × 2 × 2 × 2 × 3 × x × x × x

similarly, write 36x² into simpler form,

i.e., 36x² = 2 × 2 × 3 × 3 × x × x

now, 48x³ - 36x²

= 2 × 2 × 2 × 2 × 3 × x × x × x - 2 × 2 × 3 × 3 × x × x

= 2 × 2 × 3 × x × x (2 × 2x - 3)

= 12x²(4x - 3)

Therefore factorisation of 48x³ - 36x² = 12x²(4x - 3).

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Answer 2

Answer:

12x²(4x-3)

Hope it helps

Thank you !