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Question:

How would i multiply out single brackets?

I am really stuck on my maths homework and if anyone could give me any guidance that would be great.For example: x(x+6)Also how would you multiply out a bracket that has a number and a letter before the bracket?For example: 10g(g+6)I have learned this but my mind has gone totally blank.Thanks

Answer:

When you have a number or variable in front of the brackets (as in your examples), the variable will need to be multiplied by each number already in the parentheses. So for your example of x(x+6), this means x multiplied by the summation of (x+6). When you multiply each term individually, it becomes x*x + x*6. If you rearrange this, you will have x^2 + 6x. For your second example, you just multiply both terms in front of your parentheses. So 10g(g+6) becomes 10g*g + 10g*6. When you simplify this, you get 10g^2 + 60g. This is because you have to multiply 10*6 in the second term.
multiply, you have to multiply each term inside the bracket with the term outside the bracket x(x + 6) multiply x with x, and then multiply 6 with x x*x + 6*x x^2 + 6x 10g(g + 6) the same procedure multiply g with 10g and then multiply 6 with 10g 10g*g + 10g*6 10g^2 + 60g
x(x+6) multiply the first term in the bracket by the term outside the bracket to get x^2 multiply the second term in the bracket by the term outside the bracket to get +6x Answer x^2 + 6x 10g(g+6) multiply the first term in the bracket by the term outside the bracket to get 10g^2 multiply the second term in the bracket by the term outside the bracket to get +60g Answer 10g^2 + 60g

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