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Maths
GCSE

Expand the brackets (3x^2 + 6x + 7)(x - 3)

To help the student understand how to expand the brackets I would start by splitting the equation to:3x2(x - 3) + 6x(x - 3) + 7(x - 3)I then would ask the student to expand these brackets to:3...

JD
Answered by Jasmine D. Maths tutor
3094 Views

Find the possible values of x from the equation 3(x^2)+2x-4=2(x^2)+3x+8

Here we have an example of a quadratic equation in terms of x. Start by manipulating the equation until it is equal to 0: subtract 2(x^2) from both sides to get (x^2)+2x-4=3x+8. Then subtract 3x from both...

TI
Answered by Tom I. Maths tutor
3518 Views

Factorise fully 6xy + 3y

Step 1: recognise that the common factors of the two terms, 6xy and 3y, are: 3 and y. Step 2: take one common factor, say 3, out of the terms: 3(2xy + y). Step 3: also take the second common factor, y, ou...

GR
Answered by George R. Maths tutor
6070 Views

(root18 +root2)sqaured/(root8-2). Give answer in form A(B+rootC) where A,B and C are integers

root 18 = 3root2root8 = 2root2
Numerator: (3root2+root2)squared = (4root2)squared =32Denominator: 2root2 -2 = 2(1-root2)Simplify both numerator and denominator by dividing by 2 resulting in numerator...

MS
Answered by Muhammad S. Maths tutor
5062 Views

If f(x) = 5 – x and g(x) = 3x + 7, simplify f(2x) + g(x – 1)

There are two stages to this problem: substituting x into the original equation and then expanding out the answer and simplify it. So, with the first stage, we replace every old 'x' with the new form in t...

EC
Answered by Emma C. Maths tutor
11427 Views

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