Question

simplifique as expressoes a seguir:
A (2x+1)2 +(X-5)2
B) (x -1)2 -(x-1)2
C X (x-3)2 -(x+2)2 + (X+3 )

Answer 1

A
= (2x + 1)² + (x - 5)²
= (2x)² + 2.2x.1 + 1 + x² - 2.5.x + (-5)²
= 4x² + 4x + 1 + x² - 10x + 25
= 5x² - 6x + 26

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B)
= (x -1)² - (x-1)²
= x² - 2x + 1 - ( x² - 2x + 1)
= x² - 2x + 1 - x² + 2x - 1
= 0

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c)
= x.(x-3)² - (x + 2)² + (x + 3)
= x.(x² - 2.3x + 9) - (x² + 2.2x + 4) + x + 3
= x.(x² - 6x + 9) - (x² + 4x + 4) + x + 3
= x³ - 6x² + 9x - x² - 4x - 4 + x + 3
= x³ - 6x² - x² + 9x - 4x + x - 4 + 3
= x³ - 7x² + 6x - 1