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We start by noticing that both the numerator and denominator are expressions which can be factorised into brackets. Starting with the numerator, we multiply the coefficient of x^2 and the constant term to...

Bacteria resides virtually everywhere around (and within) us. In schools and university conditions, bacteria cultures are incubated at 25°C or lower to reduce the chances of growing harmful pathogens whic...

Write the 2 equations above each other: 3x-y=23 2x+3y=8First we want to remove the y terms to be able to find out x, so multiply the top equation by 3 9x-3y=69 2x+3y=8Now that we have -3y on the top and -...

cos(2x) - 2x*sin(2x)

Answering this question requires knowledge of the logarithm rules. Mainly how to manipulate logarithms.Firstly, notice that the multiplication in front of log_6(27) can be moved to be the power of the 27....