Question

Jabarkan dan sederhanakan penguadratan di bawah ini
a. (x + 4)² + (x + 2)²
b. (b - 6)² - (b + 4)²
c. (3x + 2y + 5z)²
d. (5x² - 2x - 5)²

Answer 1

A. (x+4)² + (x+2)²
  =(x+4) (x+4) + (x+2) (x+2)
  =(x²+4x+4x+16) + (x²+2x+2x+4)
  =(x²+8x+16) + (x²+4x+4)
  =2x²+12x+20
b. (b-6)² - (b+4)²
  =(b-6) (b-6) - (b+4) (b+4)
  =(b²-6b-6b+36) - (b²+4b+4b+16)
  =(b²-12b+36) - (b²+8b+16)
  =(2b²-20b+52)
c .(3x+2y+5z)²
  =(3x+2y+5z) (3x+2y+5z)
  =(9x²+6xy+15xz+6xy+4y²+10yz+15xz+10yz+25z²)
  =9x²+12xy+30xz+4y²+20yz+25z²
d. (5x²-2x-5)²
  =(5x²-2x-5) (5x²-2x-5)
  =(25x²-10x²-25x²-10x²+4x²+10x-25x²+10x+25)
  =-49x²+20x+25