Question

rozwiaz rownanie: 3/4x + (3/4x - 1/20x) + 20 = x

2. co wieksze: 3/4 liczby 8/7 czy 5/9 liczby 3/2 3.

oblicz liczbe której 5/9 jest równe 27

1/2 4. 2-1/4 : 2 - [(5/2) do 2 potegi + 3/2 * 5/4] 5.

wzory skróconego mnozenia

2[m(m+2)² - (m+1)(m-1)] - 8m (m+1) =

(m+2n)²-3(m-2n)² - 5 (m+2n)²=

x²(x-2)= (2x=3y)²+(x-2y)(x+2y)=

(3-√5)(3+√5)-(4+√3)= 2(√2-5)²-3(√2+3)²=

3(√5-4)=

(3+ 2√2)²=

a² + 2ab + b²=

9a² =

1/4 25 - 36x²= 16x²-8xy +y²=

Answer 1

Ad.1

3/4x+(15/20x-1/20x)+20=x

3/4x+14/20x-x=-20

15/20x+14/20x-x=-20

9/20x=-20

x=-4 4/9

Ad.2

3/4x8/7=6/7         36/42

5/9x3/2=5/6        35/42

35/42<36/42

Ad.3

x-szukana liczba, x∈R

5/9x=27 1/2

5/9x=55/2

x=49 1/2

Ad.4

2-1/8-(25/4+15/8)=16/8-1/8-50/8-15/8=-45/8=-5 5/8

Ad.5

2[m(m^2+4m+4)-(m^2-1)]-8m^2-8m=2(m^3+4m^2+4m-m^2+1)-8m^2-8m=

=2m^3+8m2+8m-2m^2+2-8m^2-8m=2m^3-2m^2+2=2m^2(m-1)+2

(m^2+4mn+4n^2)-3(m^2-4mn+4n^2)-5(m^2+4mn+4n^2)=

=m^2+4mn+4n^2-3m^2+12mn-12n^2-5m^2-20mn-20n^2=

=-7m^2-4mn-20n^2=m(-7m-4n)-20n^2

x^3-2x^2+4x^2+12xy+9y^2+x^2-4y^2=x^3+3x^2+12xy+5y^2=x(x^2+3x+12y)+5y^2

9-5-4-√3+2(2-10√2+25)-3(2-6√2+9)=-√3+4-20√2+50-6+18√2-27=

=-√3+21-2√2

3√5-12

9+12√2+8=17+12√2

(a+b)^2

(3a)^2

1/4(5+6x)(5-6x)+(4x-y)^2