Question

Упростите выражение!

Answer 1

1/16*((5+m)²-(3-m)²)=1/16*(25+10m+m²-9+6m-m²)=1/16*(16+16m)=1/16*16(1+m)=1+m

Answer 2

$\\\frac{1}{16}((5+m)^2 - (3-m)^2) = \frac{1}{16}*(5+m-(3-m)(5+m+(3+m) = \\ = \frac{1}{16} (5+m-3+m)(5+m+3+m) = \frac{1}{16}(2+2m)(8+2m) = \\ =\frac{1}{16}(2*(1+m)(2*(4+m) = \frac{1}{2}(1+m)(4+m) = \\ = 0.5(4+m + 4m + m^2) = 0.5(m^2 + 5m + 4)$