To co na załączniku 24 b i c 2 i 3
zad. 24
b)
(x-1)²+(x+1)(2x+3)=
=x²-2x+1 + 2x²+3x+2x+3=
=3x²+3x+4
c)
(3x-1)(2x+2) - (x+3)[3x-1-2(x-1)]=
=6x²-2x+6x-2 - (x+3)[3x-1-2x+2]=
=6x²+4x-2-(x+3)(x+1)=
=6x²+4x-2-(x²+x+3x+3)=
=6x²+4x-2-x²-x-3x-3=
=5x²-5
zad.2
3x²y³z⁵-9x³y⁵z³ = 3x²y³z³(z²-3xy²)
3x²y³z⁵-9x³y⁵z³ = xyz(3xy²z⁴-9x²y³z²)
3x²y³z⁵-9x³y⁵z³ = 9z³(⅓x²y³z²-x³y⁵)
u²v⁴-5u⁴v² = u²v²(v²-5u²)
u²v⁴-5u⁴v² = 5uv(⅕uv³-u³v)
u²v⁴-5u⁴v² = -5v²(-⅕u²v²+u⁴)
zad.3
a)
[2b(b+2)]/2 = b(b+2) = b²+2b
[3d(d+5)]-2d = 3d²+15d-2d = 3d²+13d
[4f(3+f)] - (4f * 3)/2 = 12f+4f² - 12f = 4f²
mam nadzieję, że dobrze :D
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zad. 24
b)
(x-1)²+(x+1)(2x+3)=
=x²-2x+1 + 2x²+3x+2x+3=
=3x²+3x+4
c)
(3x-1)(2x+2) - (x+3)[3x-1-2(x-1)]=
=6x²-2x+6x-2 - (x+3)[3x-1-2x+2]=
=6x²+4x-2-(x+3)(x+1)=
=6x²+4x-2-(x²+x+3x+3)=
=6x²+4x-2-x²-x-3x-3=
=5x²-5
zad.2
3x²y³z⁵-9x³y⁵z³ = 3x²y³z³(z²-3xy²)
3x²y³z⁵-9x³y⁵z³ = xyz(3xy²z⁴-9x²y³z²)
3x²y³z⁵-9x³y⁵z³ = 9z³(⅓x²y³z²-x³y⁵)
u²v⁴-5u⁴v² = u²v²(v²-5u²)
u²v⁴-5u⁴v² = 5uv(⅕uv³-u³v)
u²v⁴-5u⁴v² = -5v²(-⅕u²v²+u⁴)
zad.3
a)
[2b(b+2)]/2 = b(b+2) = b²+2b
b)
[3d(d+5)]-2d = 3d²+15d-2d = 3d²+13d
c)
[4f(3+f)] - (4f * 3)/2 = 12f+4f² - 12f = 4f²
mam nadzieję, że dobrze :D