Question

Упрости выражение. 15w-36+( w-6) ^2 , 1+3 p^2- ( 2 p +1 ) ^2 , ( 2- 3 a)^2- ( 8a ^2- 2 ), ( a -b)^2+ 2a ( b-a )

Answer 1

15w - 36 + (w - 6)² = 15w - 36 + w² - 12w + 36 = w² + 3w = w*(w + 3).

1 + 3p² - (2p + 1)² = 1 + 3p² - 4p² - 4p + 1 = -p² - 4p + 2

(2 - 3a)² - (8a² - 2) = 4 - 12a + 9a² - 8a² + 2 = a² - 12a + 6

(a - b)² + 2a*(b - a) = a² - 2ab + b² + 2ab - 2a² = b² - a²

Answer 2

15w - 36 + (w - 6)^2 = 15w - 36 + (w^2 - 12w + 36) = 15w + w^2 - 12w = w^2 + 3w - 36

13 + p^2 - (2 + p + 1)^2 = 13 + p^2 - (3 + 2p + p^2) = 13 + p^2 - 3 - 2p - p^2 = 10 - 2p

(2 - 3 + a)^2 - (8a^2 - 2) = (-1 + a)^2 - 8a^2 + 2 = 1 - 2a + a^2 - 8a^2 + 2 = -7a^2 - 2a + 3

(a - b)^2 + 2a(b - a) = a^2 - 2ab + b^2 + 2ab - 2a^2 = a^2 - 2a^2 + b^2 = -a^2 + b^2