Question

Помогите справиться с этим сложным заданием,нужно вынести общий множитель за скобки: а) 0,4k - 0,2k^2 + 4/5 k(1 - k)= б) 54a^8b^5 - 42a^5b^3 - 24a^4b^7=Очень-очень надо,я уже писал,но никто не может помочь.

Answer 1

0,4k-0,3k²+(4/5)k(1-k)=0,4k-0,2k²+0,8k-0,8k²=1,2k-k²=k(1,2-k).
54a⁸b⁵-42a⁵b³-24a⁴b⁷=6a⁴b³(9a⁴b²-7a-4b⁴).

Answer 2

Factoring Polynomials

Let's work through the given problems step by step.

Problem (а)

To factor the expression 0.4k - 0.2k^2 + 4/5 + k(1 - k), we can start by rearranging the terms and then factorizing by grouping.

First, let's rearrange the terms: -0.2k^2 + 0.4k + k - k^2 + 4/5

Now, let's group the terms: (-0.2k^2 - k^2) + (0.4k + k) + 4/5

Factor out common terms from each group: -k^2(0.2 + 1) + k(0.4 + 1) + 4/5

Simplify the expression: -1.2k^2 + 1.4k + 4/5

So, the factored form of the expression is -1.2k^2 + 1.4k + 4/5.

Problem (б)

To factor the expression 54a^8b^5 - 42a^5b^3 - 24a^4b^7, we can also factorize by grouping.

First, let's rearrange the terms: 54a^8b^5 - 42a^5b^3 - 24a^4b^7

Now, let's group the terms: (54a^8b^5 - 42a^5b^3) - 24a^4b^7

Factor out common terms from each group: 6a^5b^3(9a^3 - 7) - 24a^4b^7

So, the factored form of the expression is 6a^5b^3(9a^3 - 7) - 24a^4b^7.

I hope this helps! If you have any more questions or need further assistance, feel free to ask.