(2t + 1)(10t² - 2t - 4)
2t(10t²) - 2t(2t) - 2t(4) + 1(10t²) - 1(2t) - 1(4)
20t³ - 4t² - 8t + 10t² - 2t - 4
20t³ - 4t² + 10t² - 8t - 2t - 4
20t³ - 6t² - 10t - 4
(3n-4)(n²+5n-4)
3n(n²) + 3n(5n) - 3n(4) - 4n² - 4(5n) + 4(4)
3n³ + 15n² - 12n - 4n² - 20n + 16
3n³ + 15n² - 4n² - 12n - 20n + 16
3n³ + 11n² - 32n + 16
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Answers & Comments
Find the product and write in simplest form.
Problem 1:
(2t + 1)(10t² - 2t - 4)
Solution:
2t(10t²) - 2t(2t) - 2t(4) + 1(10t²) - 1(2t) - 1(4)
20t³ - 4t² - 8t + 10t² - 2t - 4
20t³ - 4t² + 10t² - 8t - 2t - 4
20t³ - 6t² - 10t - 4
Problem 2:
(3n-4)(n²+5n-4)
3n(n²) + 3n(5n) - 3n(4) - 4n² - 4(5n) + 4(4)
3n³ + 15n² - 12n - 4n² - 20n + 16
3n³ + 15n² - 4n² - 12n - 20n + 16
3n³ + 11n² - 32n + 16
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