Question

1.Doprowadz do najprostszej postaci:

a)(2+a)^2+(2-a)^2- 2 ^2 - a=
b)(2x+4)^2 - 4x^2 - 16=
c)9x^2-25+(3x-5 )((3x+5)-2x=
d)(7-y)^2+(y+7)^2+ 1=

2.Doprowadz do najprostszej postaci:

a)5(2x-4)^2-x^2-9+(x-3)^2=

b)(2a-4b)^2-2a^2-4b^2+3(2a-b)(2a+b)+5=

c)(8x+3)(8x-3)+(6x+2)^2-4(2x+7)=

d)2x(x^2-2x+5)-4x^2(x^2-2x+5)+10x^3

Answer 1

1. a) 4+2a+a2+4-2a+a2-4-a= 2a2-a

    b) (4x2+4x+16) -4x2-16 = 4x

    c) 9x2-25+9x2-25-2x= 18x2-2x-50

    d) 49-14y+y2+49+14y+y2+1=2y2+99

2. a) 5(4x2-16x+16)-x2-9+x2-6x+9=20x2-80x+16-x2-9+x2-6x+9=20x2-86x+16

    b)(2a2-26ab+16b2)-2a2-4b2+3(4a2-b2)+5=12a2+9b2-26ab+5

    c) 64x2-9+36x2+24x+4-8x+28= 100x2+16x+32

    d) 2x3-4x2+10x-4x4+8x3-20x2+10x3=-4x4+20x3-24x2+10x=x(-4x3+20x2-24x+10)