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5 votes
(X²-3x-1)²-12(x²-3x-1)+27

User Taddeo
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2 Answers

16 votes
16 votes

Answer:

Explanation:

x^4 - 6x^3 -5x^2 +42x +40

User Aayush Puri
by
3.2k points
22 votes
22 votes

Answer:

Explanation:

(x²-3x-1)² = (x²)² + (-3x)² + (-1)²+ 2(x²)(-3x)+2*(-3x)(-1)+2*(-1)(x²)

= x^4 +9x² +1 -6x³ +6x -2x²

=x^4 - 6x³ + 9x² -2x² + 6x + 1

=x^4 - 6x³ + 7x² + 6x + 1

(x²-3x-1)²-12(x²-3x-1)+27 = x^4 - 6x³ + 7x² + 6x + 1 - 12x² + 36x + 12 + 27

=x^4 - 6x³ + 7x² - 12x² + 6x +36x + 1 + 12 +27

=x^4 - 6x³ - 5x² + 42x + 40

User Jibiel
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3.1k points