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Created on: 2011-11-23
x2+3x+(8x)(x+1) +5x(x+1)
x2+3x+(8xx +8x·1 ) +5x(x+1)
x2+3x+(8x1+1 +8x )+5x(x+1)
We need to add fractions. The following rule is applied: AB+CD=LCDBA+LCDDCLCD This example involves 2 terms. Note that 1 non-fractional terms are treated as fractions with denominator equal to 1. The LCD is equal to: x(x+1) |
Number 1 as a factor, does not need to be explicitly written. In other words: 1A=A. In our example, the above transformation has been applied once. |
Numerical terms are commonly written first. |
We need to get rid of expression parentheses. If there is a negative sign in front of it, each term within the expression changes sign. Otherwise, the expression remains unchanged. In our example, there are no negative expressions. |
Simple numerical terms are commonly written last. |
We need to expand this term by multiplying a term and an expression. The following product distributive property will be used: A(B+C)=AB+AC. In our example, the resulting expression will consist of 2 terms: the first term is a product of 8x and x. the second term is a product of 8x and 1. |
We need to combine like factors in this term by adding up all the exponents and copying the base. No exponent implies the value of 1. The following are like factors: x, x |
Number 1 as a factor, does not need to be explicitly written. In other words: 1A=A. In our example, the above transformation has been applied once. |
Numerical terms in this expression have been added. |
We need to get rid of expression parentheses. If there is a negative sign in front of it, each term within the expression changes sign. Otherwise, the expression remains unchanged. In our example, there are no negative expressions. |
We need to organize this expression into groups of like terms, so we can combine them easier. There are 2 groups of like terms: first group: x2, 8x2 second group: 3x, 8x |
We need to combine like terms in this expression by adding up all numerical coefficients and copying the literal part, if any. No numerical coefficient implies value of 1. There are 2 groups of like terms: first group: x2, 8x2 second group: 3x, 8x |