Question
upstudy study bank question image url

1) \( \left(3 x^{2}\right)\left(4 x^{3}\right) \) 2 Simplify simultar - \( \frac{10 x^{4}}{2 x^{2}} \) (1) A schao schoul bi pnce of 3 Simplify (2) \[ (x+2)(x-3) \] the 4 Simply Simplify \[ \frac{6 x^{3} y^{2}}{2 x^{2} y} \] (3) 5 untiply: \[ (2 x+3)(x-4) \] © 6 Multiply \[ 4(x+2 y-5) \] Simplify \[ \left(x^{2}-4 x+4\right) \div(x-2) \] Multiply and Simplify \[ (x+1)\left(x^{2}-x+3\right) \] Find the product: \[ (x-5)(x+5) \]

Ask by Boone Rose. in Papua New Guinea
Mar 16,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

1) \( 12x^5 \) 2) \( 5x^2 \) 3) \( x^2 - x - 6 \) 4) \( 3xy \) 5) \( 2x^2 - 5x - 12 \) 6) \( 4x + 8y - 20 \) 7) \( x - 2 \) (for \( x \neq 2 \)) 8) \( x^3 + 2x + 3 \) 9) \( x^2 - 25 \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Mind Expander

When multiplying polynomials like \( (3x^2)(4x^3) \), think of it as collecting like terms. Here, you multiply the coefficients (3 and 4) to get 12, and then you add the exponents of \( x \) (2 + 3 = 5). So, the result is \( 12x^5 \). It’s a bit like a math dance; just keep your rhythm with those coefficients and exponents! For problems like \( \frac{10x^4}{2x^2} \), remember that you can simplify both the coefficients and the variables separately. Divide 10 by 2 to get 5, and for the variables, subtract the exponents (4 - 2 = 2). So, you'll happily land at \( 5x^2 \). It’s all about making the math as easy as pie!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy