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The trick here is to use a technique called the difference of squares. If we multiply the top and bottom of the fraction by the conjugate* of the denominator, we can remove any square root terms from the ...

First take natural logs of both sides, giving us: ln(3^x * e^4x) = ln(e⁷).  The RHS can be simplified using the definition of natural logs, so ln(e⁷) = 7.

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The at first can seem very challenging and you won't be able to tackle this question quickly using simple factorisation, which you can often do for many questions. It is best in this case then to use the ...

A key example of a poet expressing change comes in Carol Ann Duffy's 'Originally' from her 1990 collection The Other Country. In the poem, Duffy utilises imagery such as that of the turn...

In Spanish, nouns are either masculine or feminine. The articles for feminine nouns are la or una and the articles for masculine nouns are el or un. Generally, feminine nouns begin with an a for example, ...