Question

Simplifique as expressões(com as contas)
A) (x+1)²+(x+2)²
B) (2x+1)² +(3x+1)²
C) 5x-(2x+3)²
D) (x+5)² - x(x+3)

Answer 1

A) (x+1)² = x²+2.x.1+1² = x²+2x+1
(x+2)²=x²+2.x.2+2² = x²+4x+4
Ai substitui = x²+2x+1+x²+4x+4 = 2x²+6x+5
B) (2x+1)² = (2x)²+2.2x.1+1² = 4x²+4x+1
(3x+1)² = (3x)²+2.3x.1+1² = 9x²+6x+1
Ai substitui = 4x²+4x+1+9x²+6x+1 = 11x²+10x+2
C) (2x+3)² = (2x)²+2.2x.3+3² = 4x²+12x+9
ai substitui = 5x-(4x²+12x+9) = 5x-4x²-12x-9 = -4x²-9-7x
D) (x+5)² = x²+2.x.5+5² = x²+10x+25
-x(x+3) = -x²-3x
Ai substitui = x²+10x+25-x²-3x = 7x+25