Wzory skróconego mnozenia
a)( 8x - 2 pod pierwiastkiem)(8x+2pod pierwiastkiem)-5(2x+7)kwadrat
b)(6x kwadrat -1)(1/2x kwadrat +4y kwadrat)-(2x kwadrat-6y)kwadrat
c) (5 pierwiastek z 2-2x)(2x+5 pierwiastek z 2)-3(4x-1/2)kwadrat
d)(5x+3y) do potegi 3
e)(7 pierwiastek z 2 -2x) do potegi 3
f)( 2-3x)(3x+2)-(4-x pierwiastek z 2)kwadrat pod tym kreska ułamkowa i pod nią
4
g)(-2x-6y)kwadrat =[-(2x+6y)] kwadrat = (2x+6y)kwadrat= dokończ
h)(-3x+4y)kwadrtat=[-(3x-4y)]kwadrat = (3x-4y)kwadrat dokończ..
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a]
(8x-√2)(8x+√2)-5(2x+7)²=64x²-2-5(4x²+28x+49)=64x²-2-20x²-140x-245=44x²-140x-247
b]
(6x²-1)(½x²+4y²)-(2x²-6y)²=3x⁴+24x²y²-½x²-4y²-(4x⁴-24x²y+36y²)=
3x⁴+24x²y²-½x²-4y²-4x⁴+24x²y-36y²=-3x⁴+24x²y²-40y²+24x²y
c]
(5√2-2x)(2x+5√2)-3(4x-½)²=50-4x²-3(16x²-4x+¼)=50-4x²-48x²+12x-¾=-52x²+12x+49¼
d]
(5x+3y)³=125x³+225x²y+135xy²+27y³
e]
(7√2-2x)³=686√2-588x+84√2x²-8x³
f]
[(2-3x)(3x+2)-(4-x√2)²]/4=[4-9x²-16+8x√2-2x²]/4=2x√2-2,75x²-3
g]
(-2x-6y)²=[-(2x+6y0]²=(2x+6y)²=4x²+24xy+36y²
h]
(-3x+4y)²=[-(3x-4y)]²=(3x-4y)²=9x²-24xy+16y²