Question

"Nie tylko wynik"2gim . Podręcznik!

zad.1/115

Wykonaj mnożenie sum algebraicznych.

a) (x+4)(2+y)

b) (8a-7)(1-10b)

c) (-5c+2)(6d-1)

d) (7+4p)(-3q-5)

e)(m+3)(9-3p)

f) (1,5-4z)(-6w+0,5)

zad.2/115

Pomnóż sumy algebraiczne, następnie zredukuj wyrazy podobne.

a) (a+3)(a+11)

b) (b-7)(2b+3)

c) (12+e)(4e-6)

d) (0,25f-2)(1-4f)

e) (9-5a)(-6+2b-3a)

f) (-7z+8t-1)(5-2t)

g) (1m-6+p)(12p-9)

h) 8(a-2b)(5a+3b)

i) (1-x)(2x+3)(x+1)

Answer 1

zad.1/115

a) (x+4)(2+y)=2x+xy+8+2y

b) (8a-7)(1-10b)=8a-80ab-7+70b

c) (-5c+2)(6d-1)=-30cd+5c+12d-2

d) (7+4p)(-3q-5)=-21q-35-12pq-20p

e)(⅔m+3)(9-3p)=6m-2mp+27-9p

f) (1,5-4z)(-6w+0,5)=-9w++0,75+24zw-2z

 

zad.2/115

a) (a+3)(a+11)=a²+11a+3a+33=a²+14a+33

b) (b-7)(2b+3)=2b²+3b-14b-21=2b²-11b-21

c) (12+½e)(4e-6)=48e-72+2e²-3e=2e²+45e-72

d) (0,25f-2)(1-4f)=0,25f-f²-2+8f=-f²+8,25f-2

e) (9-5a)(-6+2b-3a)=-36+18b-27a+30a-10ab+15a²=15a²-10ab+3a-36

f) (-7z+8t-1)(5-2t)=-35z+14tz+40t-16t²-5+2t=-16t²+57t-35z-14tz

g) (1⅔m-6+p)(12p-9)=20mp-15m-72p+54+12p²-9p=12p²+20mp-16m-81p+54

h) 8(a-2b)(5a+3b)=8(5a²-3ab-10ab-6b²)=8(5a²-6b²-13ab)=40a²-48b²-104ab

i) (1-x)(2x+3)(x+1)=(2x+3-2x²-3x)(x+1)=(-2x²-x+3)(x+1)= -2x³-2x²-x²-x+3x+3=-2x³-3x²+2x+3