Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

cube of the binomial (5m−n)(5m-n)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Powers with negative basesright chevron icon

Full solution

Q. cube of the binomial (5m−n)(5m-n)
  1. Calculate first term: Calculate the first term of the binomial cube, which is the cube of the first term in the binomial.\newline(5m)3=125m3(5m)^3 = 125m^3
  2. Calculate second term: Calculate the second term of the binomial cube, which is three times the square of the first term times the second term.\newline3×(5m)2×(−n)=3×25m2×(−n)=−75m2n3 \times (5m)^2 \times (-n) = 3 \times 25m^2 \times (-n) = -75m^2n
  3. Calculate third term: Calculate the third term of the binomial cube, which is three times the first term times the square of the second term.\newline3×(5m)×(−n)2=3×5m×n2=15mn23 \times (5m) \times (-n)^2 = 3 \times 5m \times n^2 = 15mn^2
  4. Calculate fourth term: Calculate the fourth term of the binomial cube, which is the cube of the second term.\newline(−n)3=−n3(-n)^3 = -n^3
  5. Add all terms: Add up all the terms to get the final expression for the cube of the binomial. 125m3−75m2n+15mn2−n3125m^3 - 75m^2n + 15mn^2 - n^3

More problems from Powers with negative bases

Question
Write the expression using an exponent.\newline2×22 \times 2\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate the expression. 4−42 4 - 4^2 ____
Get tutor helpright-arrow

Posted 3 months ago

Question
x2=4x^2 = 4
Get tutor helpright-arrow

Posted 2 months ago

Question
x2=9x^2 = 9
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for x. \newlinex2=0x^2 = 0 \newlineWrite your answer in simplified, rationalized form. \newlinex=x = _____ or x=x = _____
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for xx. \newline8=2x8 = 2^x \newline x=x = _____
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for xx. \newline6=7x6 = 7^x \newline x=x = _____
Get tutor helpright-arrow

Posted 4 months ago

Question
Select the equivalent expression.\newline((8−5)/(2−2))−4=?((8^{-5})/(2^{-2}))^{-4}=?\newlineChoose 11 answer:\newline(A) \newline(820)/(28)(8^{20})/(2^{8})\newline(B) \newline(26)/(89)(2^{6})/(8^{9})\newline(C) \newline(1)/(8⋅22)(1)/(8\cdot 2^{2})
Get tutor helpright-arrow

Posted 16 days ago

Question
Select the equivalent expression.\newline(b745)−3= ?\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?\newlineChoose 11 answer:\newline(A) b21415\frac{b^{21}}{4^{15}}\newline(B) 415b21\frac{4^{15}}{b^{21}}\newline(C) b−21⋅4−15b^{-21}\cdot 4^{-15}
Get tutor helpright-arrow

Posted 2 months ago

Question
Select the equivalent expression.\newline(33⋅66)−3=(3^{3}\cdot6^{6})^{-3}=?\newlineChoose 11 answer:\newline(A) 139⋅618\frac{1}{3^{9}\cdot6^{18}}\newline(B) 61839\frac{6^{18}}{3^{9}}\newline(C) 39618\frac{3^{9}}{6^{18}}
Get tutor helpright-arrow

Posted 2 months ago

View all (79)