Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Subtract.
The numerator should be expanded and simplified. The denominator should be either expanded or factored.

(8)/(x+2)-(6)/(x+5)=

Subtract.\newlineThe numerator should be expanded and simplified. The denominator should be either expanded or factored.\newline8x+26x+5= \frac{8}{x+2}-\frac{6}{x+5}=

Full solution

Q. Subtract.\newlineThe numerator should be expanded and simplified. The denominator should be either expanded or factored.\newline8x+26x+5= \frac{8}{x+2}-\frac{6}{x+5}=
  1. Identify Common Denominator: Identify the common denominator for the two fractions.\newlineTo subtract the fractions, we need a common denominator. The common denominator will be the product of the two distinct denominators (x+2)(x+2) and (x+5)(x+5).
  2. Rewrite with Common Denominator: Rewrite each fraction with the common denominator.\newlineThe first fraction becomes (8)(x+5)/[(x+2)(x+5)](8)(x+5)/[(x+2)(x+5)] and the second fraction becomes (6)(x+2)/[(x+2)(x+5)](6)(x+2)/[(x+2)(x+5)].
  3. Expand Numerators: Expand the numerators of both fractions. Expand (8)(x+5)(8)(x+5) to get 8x+408x + 40 and (6)(x+2)(6)(x+2) to get 6x+126x + 12.
  4. Subtract Fractions: Subtract the second fraction from the first fraction.\newlineNow we have (8x+40)/[(x+2)(x+5)](6x+12)/[(x+2)(x+5)](8x + 40)/[(x+2)(x+5)] - (6x + 12)/[(x+2)(x+5)].
  5. Combine Numerators: Combine the numerators over the common denominator. Combine the numerators by subtracting the second from the first to get (8x+406x12)/[(x+2)(x+5)](8x + 40 - 6x - 12)/[(x+2)(x+5)].
  6. Simplify Numerator: Simplify the numerator.\newlineSimplify 8x+406x128x + 40 - 6x - 12 to get 2x+282x + 28.
  7. Final Simplified Expression: Write the final simplified expression.\newlineThe final simplified expression is (2x+28)/[(x+2)(x+5)](2x + 28)/[(x+2)(x+5)].

More problems from Negative Exponents

QuestionGet tutor helpright-arrow

Posted 7 months ago

QuestionGet tutor helpright-arrow

Posted 9 months ago