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2 answers:
Answer:
- x³ - 15x² - 61x - 36
Step-by-step explanation:
Given
(x² - 5x - 4)(x² + 4x + 9)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x² + 4x + 9) - 5x(x² + 4x + 9) - 4(x² + 4x + 9) ← distribute parenthesis
= + 4x³ + 9x² - 5x³ - 20x² - 45x - 4x² - 16x - 36 ← collect like terms
= - x³ - 15x² - 61x - 36
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Answer:
x=πn, n∈Z
Step-by-step explanation:
if sin²2x=1-cos²2x, then
1-cos²2x-2cos2x+2=0; ⇒ cos²2x+2cos2x-3=0; ⇔ (cos2x+3)(cos2x-1)=0;