Question

Разложите многочлен на множители: ac-3bd+ad-3bc

Answer 1

ac-3bd+ad-3bc=a(c+d)-3b(c+d)=(a-3b)(c+d)

Answer 2

Factoring the Polynomial

To factor the given polynomial ac - 3bd + ad - 3bc, we can group the terms and factor out common factors. Let's break it down step by step:

1. Group the terms: - ac - 3bd + ad - 3bc

2. Factor out common factors from each group: - a(c + d) - 3b(d + c)

3. Rearrange the terms: - (a(c + d) - 3b(c + d))

4. Factor out the common factor (c + d): - (c + d)(a - 3b)

Therefore, the factored form of the polynomial ac - 3bd + ad - 3bc is (c + d)(a - 3b).

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