factorise的音標為[?f?kt?ra?z]，基本翻譯為“分解因子”，速記技巧為：factorise=fact（因子）+u+r+ise（做）。可以將factorise分解為三個部分：fact表示“因子”，u表示“未知數(shù)”，r表示“乘積”。因此，factorise可以理解為將一個數(shù)分解成若干個因子的乘積。

Factorise這個詞的英文詞源可以追溯到拉丁語“factor”和“cancellare”，意為分解或分解因子。它的變化形式主要有復(fù)數(shù)形式“factors”和過去式“factored”等。

相關(guān)單詞方面，我們可以考慮以下幾個：

1. Factor：作為這個詞源的主詞，它是一個常見的英語單詞，意為因素或因子，用于數(shù)學中分解一個數(shù)或方程式。

2. Factorial：作為這個詞源的衍生詞，它是一個數(shù)學術(shù)語，表示因子的階乘。

3. Factorization：這個詞表示將一個數(shù)或方程式分解為因子的過程，是數(shù)學中的一個重要概念。

4. Factoring：這個詞也是一個英語單詞，意為將一個數(shù)或方程式中的因子提取出來，用于數(shù)學或金融中的交易處理。

5. Factorialism：這個詞是一個罕見的術(shù)語，用于表示一種數(shù)學理論，認為因子的階乘是宇宙的基本單位。

以上這些單詞都與factorise這個詞源有直接或間接的關(guān)系，并且涵蓋了數(shù)學、科學和日常生活中的不同領(lǐng)域。每個單詞的描述和解釋都盡可能地保持簡潔明了，并盡可能地提供了一些相關(guān)的信息。

常用短語：

1. factor in

2. factor out

3. factor in/out

4. factorise

5. factor out the reasons

6. factor out the causes

7. factor out the factors

雙語例句：

1. The cost of production should be factored in when making a decision.

2. We need to factor out the reasons for our failure.

3. The factors that contributed to the accident need to be factored out.

4. Factor out the causes of inflation and we can bring down prices.

5. We need to factor in the environmental impact of our decision.

6. The factors that affect our success need to be factored out.

7. The factors that led to the failure of our project need to be factored out immediately.

英文小作文：

The importance of factoring in environmental factors in decision-making

In today"s world, environmental issues have become increasingly important, and it is essential that we factor in environmental factors when making decisions that affect our lives. For example, when choosing a new car, we need to consider the environmental impact of its fuel consumption and emissions, as well as its fuel efficiency and cost. Similarly, when choosing a new home, we need to consider the impact of its location and construction on the environment, as well as its energy efficiency and carbon footprint. By factoring in environmental factors, we can make better decisions that are not only beneficial for ourselves but also for the environment and future generations. Therefore, it is crucial that we always keep environmental factors in mind when making decisions that affect our lives, and ensure that we are making responsible choices that are beneficial for ourselves and our planet.