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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.
What else can I help you with?
How can you evaluate a expression?
replace the variables with the given values and simplify using the order of operations.
What is 7c x 9e simplifyed?
To simplify the expression ( 7c \times 9e ), you multiply the coefficients (7 and 9) and then combine the variables. The multiplication gives you ( 63 ), and when combining the variables ( c ) and ( e ), you get ( ce ). Thus, the simplified expression is ( 63ce ).
How do you simplify the variable expression x plus 8 z?
To simplify the expression ( x + 8z ), you look for like terms to combine. However, since ( x ) and ( 8z ) are not like terms (they involve different variables), the expression is already in its simplest form. Therefore, ( x + 8z ) cannot be simplified further.
How do you simplify 2i 6u?
To simplify the expression (2i \cdot 6u), you multiply the coefficients and combine the variables. This gives you (12iu). If there are no further simplifications or like terms to combine, the final simplified form is (12iu).
How do you simplify 1 algebra?
To simplify the expression (1) in algebra, you recognize that it is already in its simplest form, as it represents a constant value. There are no variables or operations to combine or reduce. Thus, (1) remains (1) when simplified.
What can you simplify an expression by combining what?
Like Terms and Variables
How can you evaluate a expression?
replace the variables with the given values and simplify using the order of operations.
How do you simplify expessions?
To simplify an expression you must combine the variables and the constants. Then write the simplified version of the expression so that the expression isn't solved, just simplified. 1a+2(a+5)=2a+7
What is 7c x 9e simplifyed?
To simplify the expression ( 7c \times 9e ), you multiply the coefficients (7 and 9) and then combine the variables. The multiplication gives you ( 63 ), and when combining the variables ( c ) and ( e ), you get ( ce ). Thus, the simplified expression is ( 63ce ).
How do you evaluate variable expressions?
To evaluate a variable expression, replace all the variables with numbers and simplify the resulting numerical expression. 3m for m = 9 3(9)=27
How do you simplify the variable expression x plus 8 z?
To simplify the expression ( x + 8z ), you look for like terms to combine. However, since ( x ) and ( 8z ) are not like terms (they involve different variables), the expression is already in its simplest form. Therefore, ( x + 8z ) cannot be simplified further.
How do you simplify 1 algebra?
To simplify the expression (1) in algebra, you recognize that it is already in its simplest form, as it represents a constant value. There are no variables or operations to combine or reduce. Thus, (1) remains (1) when simplified.
How do you simplify 2i 6u?
To simplify the expression (2i \cdot 6u), you multiply the coefficients and combine the variables. This gives you (12iu). If there are no further simplifications or like terms to combine, the final simplified form is (12iu).
How do you find the value of an algebraic expression by substituting a number for each variable and simplifying?
The answer to the question is given in the question!If you want to find the value of an algebraic expression, then you need to substitute numerical values for each of the variables in the expression, and then calculate and simplify the result.
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.
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
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.
