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The first step is to multiply out all brackets. Them you add together (or subtract) like terms: these are terms which have the same variables [to the same powers].
Thus 2(3x + 5) + (x + 7)(2x - 3)
Multiply out the brackets to give:
6x + 10 + 2x^2 - 3x + 14x - 21
Rearrange so that like terms are grouped together:
2x^2 + 6x - 3x + 14x + 10 - 21
Combine like terms:
2x^2 + 17x - 11
The second stage - rearranging - is not necessary once you are experienced but is advisable in the early days.
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How can you evaluate a expression?
replace the variables with the given values and simplify using the order of operations.
Can a mathematical expression have no variables?
Yes, a mathematical expression can have no variables, but such an expression is usually not very useful. An example of a valid expression without variables is: 1+1=2
What are similar terms in maths?
That refers to terms that have exactly the same combination of variables. For example, in 5xy + x2 - 3xy, the first and last term have the same variables, so they are similar. You can simplify an expression by combining such terms.
8x plus y -16?
You can't simplify that. And you can only calculate a numeric value if you know what values the variables have.
What is the answer to simplify 5x-6y-2x-y?
To simplify the expression 5x - 6y - 2x - y, you first combine like terms by adding or subtracting coefficients of the same variables. In this case, combining like terms gives you 3x - 7y. So, the simplified form of the expression is 3x - 7y.
