Question

WZORY SKRÓCONEGO MNOZENIA ( DOPROWADŻ WYRAŻENIA DO NAJPROSTSZEJ POSTAC)I:
A) (2x+1)² - (3x-1)(3x+1) - (2x - 3)²

B) 3(a-4)²-(5a-3)²+(3a-2)(2+3a)=
C) - (2-x)² - 8(1-x)² + 5(1+x)(1-x)=
D) 4a+(7a-1)(7a+1) - (4a-9)² - 3(5a-1)²=

E)5[(x-5)² - (3x+7)²] - (5x-2)(5x+2)=

F) (3x-4)(5x+1) - (3x-4)²+2(5x+1)²(x-2)(x+2)=

G) 2(a-5b)²+3a(b-3)² - (4a-5)(4a+5)=

H)(2a-5b)²+4(2a+5b)²+(5b-3)(3b-2)-(2a-5)(*2a+5)=

I) 3(x+2)²-5(2x-1)²+3x=

J)2(x-1)(x+1)-4(5x-2)²-4x(x-1)=

K) (2k-3)-4k(2k-6)+(k-5)²=

Wyniki;

A)-9x²+16x-7

B)-13a²+6a+35

C)-14x²+20x-7

D)-42a²+106a-85

E)-65x²-260x-116

F)57x²+27x-22

G)-14a²-38ab+50b²+3ab²+27a+25

H)-16a²-60b²-19b+31-100ab

I)-17x²+35x+7

J)-102x²+84x-18

K)-3k²+2k+34

zzzZ góry dzięęęki ; ]]]

Answer 1

A) (2x+1)² - (3x-1)(3x+1) - (2x - 3)²=4x²+4x+1-(9x²-1)-(4x²-12x+9)=

4x²+4x+1-9x²+1-4x²+12x-9=-9x²+16x-7

B) 3(a-4)²-(5a-3)²+(3a-2)(2+3a)=3(a²-8a+16)-(25a²-30a+9)+9a²-4=3a²-24a+48-

25a²+30a-9+9a²-4=-13a²+6a+35

C) - (2-x)² - 8(1-x)² + 5(1+x)(1-x)=-(4-4x+x²)-8(1-2x+x²)+5-5x²=-4+4x-x²-8+16x

-8x²+5-5x²=-14x²+20x-7

D) 4a+(7a-1)(7a+1) - (4a-9)² - 3(5a-1)²=4a+49a²-1-(16a²-72a+81)-3(25a²-10a+1)=

4a+49a²-1-16a²+72a-81-75a²+30a-3=-42a²+106a-85

E)5[(x-5)² - (3x+7)²] - (5x-2)(5x+2)=5(x²-10x+25-9x²-42x-49)-25x²+4=

5x²-50x+125-45x²-210x-245-25x²+4=-65x²-260x-116

F) (3x-4)(5x+1) - (3x-4)²+2(5x+1)²+(x-2)(x+2)=15x²-20x+3x-4-(9x²-24x+16)+(50x²+20x+2)+(x²-4)=15x²-20x+3x-4-9x²+24x-16+50x²+20x+2+x²-4=

15x²-20x+3x-4-9x²+24x-16+50x²+20x+2+x²-4=57x²+27x-22

G) 2(a-5b)²+3a(b-3)² - (4a-5)(4a+5)=2(a²-10ab+25b²)+3a(b²-6b+9)-16a²+25=

2a²-20ab+50b²+3ab²-18ab+27a-16a²+25=-14a²-38ab+50b²+3ab²+27a+25

H)(2a-5b)²+4(2a+5b)²+(5b-3)(3b-2)-(2a-5)(*2a+5)=4a²-20ab+25b²+16a²-80ab+100b²+15b²-9b-10b+6-4a²+25=-16a²-60b²-19b+31-100ab

I) 3(x+2)²-5(2x-1)²+3x=3x²+12x+12-20x²+20x-5+3x=-17x²+35x+7

J)2(x-1)(x+1)-4(5x-2)²-4x(x-1)=2x²-2-100x²+80x-16-4x²+4x=-102x²+84x-18

K) (2k-3)-4k(2k-6)+(k-5)²=2k-3-8k²+24k+k²-10k+25=-7k²+16k+22