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Law of indices : Rule: a^m * a^n = a^m+nTo multiply expressions with the same base, copy the base and add the indices. Lets start with gathering the a's - a^3 and a^2 adding the indices gets a^5Now b's - ...

For example: 3(2a + 5) + 5(a - 2)
The key is to approach this question in two steps, with the first step being to expand the brackets before then simplifying where possible. A good method for expand...

I would show the student two methods of solving this answer.The first method by:Finding two numbers that multiply to make -3 and simultaneously add to make +2.The two num...

We know that the perimeter of the triangle is 20cm and we also know the value of two of the sides of the triangle, AB=7cm and BC=4cm. We can work out the length of the third side (AC) by subtracting the k...

We know that x:y is 7:4, and therefore x is seven-elevenths of the total value of x and y. Therefore we can express x = 7/11 (x+y). Since we also know that the total of x+y is 88, we can substitute this i...