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The first step in factorising is to look for a 'common factor'. A common factor is a number or letter that all the values have in common. 

All the integers (numbers) in this equation can be divided...

There are a few methods you can use. Here are two methods: 1) Inspection. Say we have the equation x²+4x+3. We can find two numbers which multiply together to make 3 but add together to make 4....

Area of a circle = π r²

r = (1/2) d = (1/2) * 140 = 70

area         = π * (70)²

                = 4900 π cm²

We first need to find dy/dx and we use the fact that dy/dx = dy/dt * dt/dx. So we have dy/dt = -6sin(3t) and dx/dt = 12cos(3t). Substituing these in we have dy/dx = -6*sin(3t)1/(12cos(3t...

Following the laws of BIDMAS, the bracket needs to be multiplied first (instead of adding 2y and 3y first):

2y + 15y² + 9y

Simplify by addition of the y's...