1. (xβ1)(5x+8)β2x+5
=(x)(5x)+(x)(8)+(β1)(5x)+(β1)(8)+β2x+5
=5x2+8x+β5x+β8+β2x+5
Combine Like Terms:
=5x2+8x+β5x+β8+β2x+5
=(5x2)+(8x+β5x+β2x)+(β8+5)
=5x2 + x + β3
2. (β2+5)(3x+9)
=9x+27
3. 2x+5β8x+12
=2x+5+β8x+12
Combine Like Terms:
=2x+5+β8x+12
=(2x+β8x)+(5+12)
=β6x+17
4. (βx+3)(β5xβ2)
=(βx+3)(β5x+β2)
=(βx)(β5x)+(βx)(β2)+(3)(β5x)+(3)(β2)
=5x2+2xβ15xβ6
=5x2 β 13x β 6