a) (a + b) (a - b+1)-(a - b) (a+b-1) = a² - b² + a - b + ab - ab + b - 1 = a² - b² + a - 1
(a + 3b) (a+b+2)-(a + b) (a + 3b + 2) = a² + 5ab + 6b² - a - 2
B) (a2-3a+1) (2a + 1)² = 4a^5 - 6a^4 - 3a^3 + 11a^2 - 4a + 1
r) (2b+3) (b-2)³ = 8b^4 - 38b^3 + 57b^2 - 33b + 18
A) (a-1)+3(a-1)2 + 3 (a-1) + 1 = 3a² - 3a + 1
e) (a+1)+(a-1)' = a + 1 + 1 - a = 2
*) (b-2) (b+263 + 4b3+8b+ 16) = 4b^4 + 261b^3 + 4b^2 - 508b + 32
з)(a2+ ab + b²) (a² - ab + b²) (a-a²b²+b) = a^5 - a^4b - a^3b^2 + a^3b + a^2b^3 + ab^4 - a^2b^2 - ab^3 + b^5
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Answers & Comments
a) (a + b) (a - b+1)-(a - b) (a+b-1) = a² - b² + a - b + ab - ab + b - 1 = a² - b² + a - 1
(a + 3b) (a+b+2)-(a + b) (a + 3b + 2) = a² + 5ab + 6b² - a - 2
B) (a2-3a+1) (2a + 1)² = 4a^5 - 6a^4 - 3a^3 + 11a^2 - 4a + 1
r) (2b+3) (b-2)³ = 8b^4 - 38b^3 + 57b^2 - 33b + 18
A) (a-1)+3(a-1)2 + 3 (a-1) + 1 = 3a² - 3a + 1
e) (a+1)+(a-1)' = a + 1 + 1 - a = 2
*) (b-2) (b+263 + 4b3+8b+ 16) = 4b^4 + 261b^3 + 4b^2 - 508b + 32
з)(a2+ ab + b²) (a² - ab + b²) (a-a²b²+b) = a^5 - a^4b - a^3b^2 + a^3b + a^2b^3 + ab^4 - a^2b^2 - ab^3 + b^5