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How do I factorise a quadratic expression with coefficient greater than 1 i.e. 2x^2 + x - 6.

In order to factorise this, we will use the S.P.F method. S, stands for sum (2nd term) P, stands for product (3rd term)F, stands for factors (two numbers). The goal is to find 2 factors that not only add ...

Answered by Dera U. • Maths tutor

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Write (9^8)/((9^5)^2) in its simplest form

First expand the denominator 9⁸/(9⁵)² = 9⁸/9¹⁰. Then simplify using power laws to give 9⁸/9¹⁰=9^-2. This can be writt...

Answered by Jacques D. • Maths tutor

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Simplify fully (2a + (b)^0.5)^2

(2a + b^0.5) ²First Expand the brackets:(2a + b^0.5) x (2a + b^0.5) 4a² + 2ab^0.5 + 2ab^0.5 + b Simplify the expression by collecti...

Answered by James B. • Maths tutor

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Paul buys 12 apples and 10 oranges. 12 apples cost £6. The ratio of the cost of one apple: one orange is 2:3. What is the total cost of the apples and oranges?

Using the ratio one apple: one orange is 2:3 it can be found that one orange = (3/2) * one apple. As 12 apples cost £6, one apple cost £6/12 = 50p. Therefore, one orange = (3/2) * 50p = 75p and 10 oranges...

Answered by Jacques D. • Maths tutor

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