Question

simplifique as expressões

Answer 1

letra a
a.(5a-1).(a+2)^2

(5a^2-a).(a^2+4a+4)

=5a^4+19a^3+16a^2-4a

letra b

(2x+3)^2-x.(x-4)

=3x^2+16x+9

letra c

(y-3).(y+2)-(y+1)^2

=y^2-y-6-y^2-2y-1

=-y-6-1

=-y-7

letra D

(9y+1)^2-(y+9)^2

=80y^2+18y+1-18y-81

=80y^2-80

letra E

(2a+3b)^2-4a.(a+3b)

=4a^2+12ab+9b^2-4a^2-12ab

=9b^4


letra f

(1+5a)^2+25.(1-a^2)

25a^2+10a+1+25-25a^2

=10a+26

espero ter ajudado!

Answer 2

A) a(5a-1) + (a+2)²=

5a²-a + (a+2).(a+2) =

5a²-a + a²+2a+2a+4 =

5a²-a + a²+4a+4 =

6a²+3a+4

B) (2x+3)² - x(x-4) =

(2x+3).(2x+3) - x²+4 =

4x²+6x+6x+9 - x²+4x =

4x²+12x+9 - x²+4x =

3x²+8x+9

C) (y-3).(y-2) - (y+1)² =

y²+2y-3y-6 - (y+1).(y+1) =

y²-y-6 - y²+y+y+1 =

y²-y-6 - y²+2y+1 =

y-5

D) (9y+1)² - (y+9)² =

(9y+1).(9y+1) - (y+9).(y+9) =

81y²+9y+9y+1 - y²+9y+9y+81 =

81y²+18y+1 - y²+18y+81 =

80y²+36y+82

E) (2a+3b)² - 4a(a+3b) =

(2a+3b).(2a+3b) - 4a²-12ab =

4a²+6ab+6ab+9b² - 4a²-12ab =

12ab+9b²-12ab =

9b²

F) (1+5a)² + 25(1-a²) =

(1+5a).(1+5a) + 25-25a² =

1+5a+5a+25a² + 25-25a² =

10a+26