nilayyadav2 nilayyadav2
  • 02-07-2020
  • Mathematics
contestada

write as a polynomial (a+2b)(4a–5b)–(3a–b)(b–a)

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izvolskyand24
izvolskyand24 izvolskyand24
  • 02-07-2020

Answer:

7a^2-ab-9b^2

Step-by-step explanation:

Let's do this in two steps. First, we multiply the first two parentheses:

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

4a^2-5ab+8ab-10b^2 = 4a^2+3ab-10b^2

Then, do the other two parentheses:

(3a-b)(b-a)

3ab-3a^2-b^2+ab = 4ab-3a^2-b^2

Then, combine them:

4a^2+3ab-10b^2-4ab+3a^2+b^2 = 7a^2-ab-9b^2

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