Question

(5a-5b)-(ac-bc)(mn+mp)-(n+p)(ax-ay)-(bx-by)​

Answer 1

Ответ:

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Объяснение:

Answer 2

To simplify the expression (5a-5b)-(ac-bc)(mn+mp)-(n+p)(ax-ay)-(bx-by), you can use the distributive property to expand and then combine like terms. Here's the step-by-step simplification:

1. Distribute the -1 into each term inside the parentheses: -1 * (ac-bc)(mn+mp) = -acmn + bcmn - acmp + bcmp -1 * (n+p)(ax-ay) = -nax + nay - pax + pay

2. Now, let's rewrite the original expression with these expanded terms: (5a - 5b) - (-acmn + bcmn - acmp + bcmp) - (-nax + nay - pax + pay) - (bx - by)

3. Distribute the -1 into each term inside the parentheses again: -(-acmn + bcmn - acmp + bcmp) = acmn - bcmn + acmp - bcmp -(-nax + nay - pax + pay) = nax - nay + pax - pay

4. Rewrite the expression once more with the expanded terms: 5a - 5b + (acmn - bcmn + acmp - bcmp) + (nax - nay + pax - pay) - bx + by

5. Now, combine like terms: 5a + acmn - bcmn + acmp - bcmp + nax - nay + pax - pay - 5b - bx + by

6. Group like terms together: (5a + acmn + acmp + nax + pax - 5b - nay - pay - bx) - (bcmn + bcmp - by)

7. Finally, combine the remaining like terms: 5a + acmn + acmp + nax + pax - 5b - nay - pay - bx - bcmn - bcmp + by

So, the simplified expression is: 5a + acmn + acmp + nax + pax - 5b - nay - pay - bx - bcmn - bcmp + by