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Since the equation shows a 6x^2, we know that in the brackets we must have either: (2x+a)(3x+b) or (6x+a)(x+b) However we know the last two numbers must multiply to make -3, hence a and b must be +1 and -...

would start by asking what is 4 * 0.5 ? They might then work out that that is 2 which would lead them to have a cognitive conflict which can be very useful as they can understand that the logic is wrong.<...

Using the fact that 1/3rd of the fruit in bag 1 are apples and there are 20 apples in total you can work out that there are 60 pieces of fruit in bag 1. This is found by doing 20 x 3 = 60.

Then usi...

2(e-2f) + x(e-2f) = (2+x)(e-2f)

This equation rearranges to give -y=(x+3)^2-4, which is very similar to our curve y=(x+3)^2-4 from before. In fact, replacing y with -y in an equation is equivalent to reflecting the curve through the x-a...