Question

Раскройте скобки:а) 3ас(а²-2ас+с²)б) -5а³(3а³-а²+а)помогите!!!!!​

Answer 1

Ответ:

Смотри решение на фото...

Answer 2

Solving the Expressions

Let's solve the given expressions step by step.

a) \(3a^2(a^2 - 2a + c^2)\)

First, distribute \(3a^2\) into the parentheses:

\(3a^2 \cdot a^2 - 3a^2 \cdot 2a + 3a^2 \cdot c^2\)

This simplifies to:

\(3a^4 - 6a^3 + 3a^2c^2\)

So, the expression \(3a^2(a^2 - 2a + c^2)\) simplifies to \(3a^4 - 6a^3 + 3a^2c^2\).

b) \(-5a^3(3a^3 - a^2 + a)\)

Similarly, distribute \(-5a^3\) into the parentheses:

\(-5a^3 \cdot 3a^3 + 5a^3 \cdot a^2 - 5a^3 \cdot a\)

This simplifies to:

\(-15a^6 + 5a^5 - 5a^4\)

So, the expression \(-5a^3(3a^3 - a^2 + a)\) simplifies to \(-15a^6 + 5a^5 - 5a^4\).

Conclusion

In conclusion, the simplified expressions are: a) \(3a^2(a^2 - 2a + c^2)\) simplifies to \(3a^4 - 6a^3 + 3a^2c^2\) b) \(-5a^3(3a^3 - a^2 + a)\) simplifies to \(-15a^6 + 5a^5 - 5a^4\).