Szczegółowe wyjaśnienie:
a(b + c) = ab + ac
(a + b)(c + d) = ac + ad + bc + bd
(+) · (-) = (-)
(-) · (-) = (+)
[tex]3(2x-5y) = 6x-15y\\\\\\-2x(x+3y) = -2x^{2}-6xy\\\\\\2(3x^{2}-3)+(2x+1)(2-x) = 6x^{2}-6+4x-2x^{2}+2-x = 4x^{2}+3x-4\\\\\\(5x-2)(3x-1)-3(x-1)(2x+3)=15x^{2}-5x-6x+2-3(2x^{2}+3x-2x-3) =\\\\15x^{2}-11x+2-3(2x^{2}+x-3) = 15x^{2}-11x+2-6x^{2}-3x+9 = 9x^{2}-14x+11[/tex]
[tex]2x^{2}y - 3xy +1 =xy(2x-3)+1[/tex]
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Szczegółowe wyjaśnienie:
a(b + c) = ab + ac
(a + b)(c + d) = ac + ad + bc + bd
(+) · (-) = (-)
(-) · (-) = (+)
[tex]3(2x-5y) = 6x-15y\\\\\\-2x(x+3y) = -2x^{2}-6xy\\\\\\2(3x^{2}-3)+(2x+1)(2-x) = 6x^{2}-6+4x-2x^{2}+2-x = 4x^{2}+3x-4\\\\\\(5x-2)(3x-1)-3(x-1)(2x+3)=15x^{2}-5x-6x+2-3(2x^{2}+3x-2x-3) =\\\\15x^{2}-11x+2-3(2x^{2}+x-3) = 15x^{2}-11x+2-6x^{2}-3x+9 = 9x^{2}-14x+11[/tex]
[tex]2x^{2}y - 3xy +1 =xy(2x-3)+1[/tex]