Question

6x(x³-2) 3ad(a²-d+4) 5a(2b-1)-3b(1+4a)

Answer 1

6х(х³-2)=6х⁴-12х
3аd(а²-d+4)=3a³d-3ad²+12ad
5a(2b-1)-3b(1+4a)=-2ab-5a-3b

Answer 2

Let's simplify each of the given expressions step by step:

1. 6x(x³-2) To simplify this expression, we can use the distributive property (FOIL method): 6x * x³ + 6x * (-2)

Simplify: 6x^4 - 12x

2. 3ad(a²-d+4) To simplify this expression, again use the distributive property: 3ad * a² + 3ad * (-d) + 3ad * 4

Simplify: 3a³d - 3ad² + 12ad

3. 5a(2b-1)-3b(1+4a) Apply the distributive property to both terms: 5a * 2b + 5a * (-1) - 3b * 1 - 3b * 4a

Simplify: 10ab - 5a - 3b - 12ab

Now, combine like terms: (10ab - 12ab) - 5a - 3b -2ab - 5a - 3b

So, the simplified expressions are:

1. 6x^4 - 12x
2. 3a³d - 3ad² + 12ad
3. -2ab - 5a - 3b