Answer: 2 numbers are 19 and 39
Step-by-step explanation:
<em>y = x + 20</em>
Equation: x + y + 20 = 78
⇔ x + y = 78 - 20
⇔ x + y = 58
⇔ y = 58 - x
So, we have:
x + 20 = 58 - x ( = y)
⇔ x + x = 58 - 20
⇔ 2x = 38
⇔ x = 19
⇒ y = x + 20 = 19 + 20 = 39
Answer:
-12
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see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
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= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
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Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
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(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32