# How do you add #(x^2+2x)/(12x+54) - (3-x)/(8x+36)#?

Factorize

By signing up, you agree to our Terms of Service and Privacy Policy

To add the given expressions, we need to find a common denominator for both fractions. The common denominator is (12x + 54)(8x + 36).

Next, we multiply the numerator and denominator of the first fraction, (x^2 + 2x), by (8x + 36), and the numerator and denominator of the second fraction, (3 - x), by (12x + 54).

Expanding these expressions, we get (8x^3 + 36x^2 + 16x^2 + 72x) / (12x + 54)(8x + 36) - (36x + 162 - 12x^2 - 54x) / (12x + 54)(8x + 36).

Simplifying the numerators, we have (8x^3 + 52x^2 + 72x) / (12x + 54)(8x + 36) - (12x^2 - 18x + 162) / (12x + 54)(8x + 36).

Combining the fractions, we get (8x^3 + 52x^2 + 72x - 12x^2 + 18x - 162) / (12x + 54)(8x + 36).

Simplifying the numerator further, we have (8x^3 + 40x^2 + 90x - 162) / (12x + 54)(8x + 36).

Therefore, the simplified expression is (8x^3 + 40x^2 + 90x - 162) / (12x + 54)(8x + 36).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you multiply #(6p+7)/(p+2)div(36p^2-49)#?
- How do you find the quotient of #(12n^3-6n^2+15)div6n#?
- How do you solve the rational equation #1 / (x+1) = (x-1)/ x + 5/x#?
- How do you simplify #( 5a^2 + 20a) /( a^3-2a^2) * ( a^2-a-12) / (a^2-16)#?
- There is a fraction such that if 3 is added to the numerator, its value will be 1/3, and if 7 is subtracted from the denominator, its value will be 1/5. What is the fraction? Give the answer in the form of a fraction.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7