How to add rational expressions with a common denominator - PSAT Math

Since both expressions have a common denominator, x2, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.

Same denominator means you add straight across the numerators, keeping the denominator the same.

Add like terms.

Final Answer.

Check for same Denominator

Add like terms

Check for GCF or if the expression can be factored

After factoring, divide out like terms.

Final Answer

Since both expressions have a common denominator, x2, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.

Same denominator means you add straight across the numerators, keeping the denominator the same.

Add like terms.

Final Answer.

Check for same Denominator

Add like terms

Check for GCF or if the expression can be factored

After factoring, divide out like terms.

Final Answer

Since both expressions have a common denominator, x2, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.

Same denominator means you add straight across the numerators, keeping the denominator the same.

Add like terms.

Final Answer.

Check for same Denominator

Add like terms

Check for GCF or if the expression can be factored

After factoring, divide out like terms.

Final Answer

Since both expressions have a common denominator, x2, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.

Same denominator means you add straight across the numerators, keeping the denominator the same.

Add like terms.

Final Answer.

Check for same Denominator

Add like terms

Check for GCF or if the expression can be factored

After factoring, divide out like terms.

Final Answer

Since both expressions have a common denominator, x2, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.

Same denominator means you add straight across the numerators, keeping the denominator the same.

Add like terms.

Final Answer.

Check for same Denominator

Add like terms

Check for GCF or if the expression can be factored

After factoring, divide out like terms.

Final Answer

Since both expressions have a common denominator, x2, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.

Same denominator means you add straight across the numerators, keeping the denominator the same.

Add like terms.

Final Answer.

Check for same Denominator

Add like terms

Check for GCF or if the expression can be factored

After factoring, divide out like terms.

Final Answer

Since both expressions have a common denominator, x2, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.

Same denominator means you add straight across the numerators, keeping the denominator the same.

Add like terms.

Final Answer.