Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Subtract.

(5y^(3))/(6c^(2)k^(3))-(3c^(3)u^(3))/(8d^(3)k^(2))

Subtract. $\newline$ $\frac{5 y^{3}}{6 c^{2} k^{3}}-\frac{3 c^{3} u^{3}}{8 d^{3} k^{2}}$

View step-by-step help

View step-by-step help

Divide polynomials using long division

Full solution

Q. Subtract.

\newline

\frac{5 y^{3}}{6 c^{2} k^{3}}-\frac{3 c^{3} u^{3}}{8 d^{3} k^{2}}

Identify Terms: Identify the terms to subtract.
Write Down: Write down the terms. $\newline$ $\frac{5y^{3}}{6c^{2}k^{3}} - \frac{3c^{3}u^{3}}{8d^{3}k^{2}}$
Find Common Denominator: Find a common denominator. $\newline$ The least common multiple (LCM) of $6c^{2}k^{3}$ and $8d^{3}k^{2}$ is $24c^{3}d^{3}k^{3}$ .
Rewrite Fractions: Rewrite each fraction with the common denominator. $\frac{5y^{3}}{6c^{2}k^{3}} \times \frac{4d^{3}}{4d^{3}} - \frac{3c^{3}u^{3}}{8d^{3}k^{2}} \times \frac{3c}{3c} \times \frac{k}{k}$
Perform Multiplication: Perform the multiplication. $\newline$ $\frac{20d^{3}y^{3}}{24c^{2}d^{3}k^{3}} - \frac{9c^{4}u^{3}k}{24d^{3}k^{3}}$
Combine Terms: Combine the terms over the common denominator. $\newline$ $(20d^{3}y^{3} - 9c^{4}u^{3}k)/(24c^{3}d^{3}k^{3})$
Simplify Expression: Simplify the expression. $\newline$ Oops, made a mistake in the previous step, should have multiplied $3c$ by $k^{3}$ not just $k$ .

More problems from Divide polynomials using long division

Question

Find the degree of this polynomial.

\newline

`5b^{10} + 3b^3`

\newline

Posted 3 months ago

Question

\newline

(9a + 5) - (2a + 4)

\newline

Posted 3 months ago

Question

Find the product. Simplify your answer.

\newline

-3v^2(v^2 - 9)

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 3 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 3 months ago

Question

Divide. If there is a remainder, include it as a simplified fraction.

\newline

(24t^2 + 36t) \div 6t

\newline

Posted 2 months ago

Question

Is the function

q(x) = x^6 - 9

even, odd, or neither?

\newline

\newline

\text{[[even][odd][neither]]}

Posted 3 months ago

Question

Find the product. Simplify your answer.

\newline

-3q^2(-3q^2 + q)

\newline

Posted 3 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 3 months ago

Question

Find the roots of the factored polynomial.

\newline

(x + 7)(x + 4)

\newline

Write your answer as a list of values separated by commas.

\newline

x =

Posted 3 months ago