Question

(х - 3) (х + 4) (2у + 1) (5у -6) (3х - у) (2х - 7у)

Answer 1

Ответ:

х^2+4х-3х-12=х^2+х-12

10у^2-12у+5у-6=10у^2-7у+6

6х^2-21ху-2ху+7у^2=6х^2+7у^2-23ху

Answer 2

To simplify the expression (х - 3) (х + 4) (2у + 1) (5у -6) (3х - у) (2х - 7у), you can expand and combine like terms. Here's the step-by-step process:

1. Start by expanding the first two terms: (х - 3) (х + 4): (х - 3) (х + 4) = х * х + х * 4 - 3 * х - 3 * 4 = х^2 + 4х - 3х - 12 = х^2 + х - 12

2. Now expand the next two terms: (2у + 1) (5у - 6): (2у + 1) (5у - 6) = 2у * 5у + 2у * (-6) + 1 * 5у + 1 * (-6) = 10у^2 - 12у + 5у - 6 = 10у^2 - 7у - 6

3. Expand the next two terms: (3х - у) (2х - 7у): (3х - у) (2х - 7у) = 3х * 2х + 3х * (-7у) - у * 2х - у * (-7у) = 6х^2 - 21ху - 2ху + 7у^2 = 6х^2 - 23ху + 7у^2

4. Now multiply the three expanded expressions: (х^2 + х - 12) * (10у^2 - 7у - 6) * (6х^2 - 23ху + 7у^2)

To simplify the expression further, we can combine like terms and rearrange the terms:

5. Multiply the coefficients of each term and combine the variables with the same exponents: = (х^2 * 10у^2 * 6х^2) + (х^2 * 10у^2 * -23ху) + (х^2 * 10у^2 * 7у^2) + (х * 10у^2 * 6х^2) + (х * 10у^2 * -23ху) + (х * 10у^2 * 7у^2) + (-12 * 10у^2 * 6х^2) + (-12 * 10у^2 * -23ху) + (-12 * 10у^2 * 7у^2) = 60х^4у^2 - 230х^3у^3 + 70х^2у^4 + 60х^3у^2 - 230х^2у^3 + 70ху^4 - 720х^2у^2 + 2760ху^3 - 840у^4

So the simplified form of (х - 3) (х + 4) (2у + 1) (5у - 6) (3х - у) (2х - 7у) is 60х^4у^2 - 230х^3у^3 + 70х^2у^4 + 60х^3у^2 - 230х^2у^3 + 70ху^4 - 720х^2у^2 + 2760ху^3 - 840у^4.