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galinamur2017
@galinamur2017
September 2021
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7class
Спростити вираз
a) (х-1)(х^2-2x+2)
b) (a+2)(a-5)+3a
c) 3x(x-6)+(2x^2+14)
d) (a-b)(a-3)+2a(1-a)
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Виктория0503
Verified answer
A) (х-1)(х^2-2x+2) = x^3 + 2x^2 + 2x - 2x^2 + 2x - 2 = x^3 + 4x - 2
b) (a+2)(a-5)+3a = a^2 - 5a + 2a - 10 + 3a = a^2 - 10
c) 3x(x-6)+(2x^2+14) = 3x^2 - 18x + 2x^2 + 14 = 5x^2 - 18x + 14
d) ( a-b)(a-3)+2a(1-a) = a^2 - 3a - ab + 3b + 2a -2a^2 = -a^2 - a - ab + 3b
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Answers & Comments
Verified answer
A) (х-1)(х^2-2x+2) = x^3 + 2x^2 + 2x - 2x^2 + 2x - 2 = x^3 + 4x - 2b) (a+2)(a-5)+3a = a^2 - 5a + 2a - 10 + 3a = a^2 - 10
c) 3x(x-6)+(2x^2+14) = 3x^2 - 18x + 2x^2 + 14 = 5x^2 - 18x + 14
d) ( a-b)(a-3)+2a(1-a) = a^2 - 3a - ab + 3b + 2a -2a^2 = -a^2 - a - ab + 3b