How to factorise

3d³-12d²-15d

1 answer

Step 1: Find the greatest common factor (GCF) of the terms.

The GCF of 3d³, -12d², and -15d is 3d.

Step 2: Rewrite the expression using the GCF.

3d(d² - 4d - 5)

Step 3: Factor the quadratic expression in the parentheses.

The quadratic expression can be factored as (d - 5)(d + 1).

Step 4: Rewrite the expression using the factored form.

3d(d - 5)(d + 1)

Therefore, the factored form of 3d³ - 12d² - 15d is 3d(d - 5)(d + 1).
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