Question

wykonaj mnozenie i zredukuj wyrazy podobne:

a)(d+1)*(d^2+3d+5)

b)(5x+6)^2

c)(2x+7y)^2

d)(t-5)^2

e)(4p-5)^2

f)(12k-5l)^2

g)(m+9)*(m-9)

h)(4x+3)*(4x-3)

i)(5a-4c)*(5a+4c)

Answer 1

 a) (d + 1)*(d^2  + 3d + 5) = d^3 + 3d^2 + 5d + d^2 + 3d + 5 = d^3 + 8d + 5 + 3d^2

b)  (5x + 6)^2 =(5x + 6)(5x + 6)= 25x^2 + 30x + 30x + 36 = 25x^2 + 60x + 36

 

c) (2x + 7y)^2=(2x + 7y)(2x + 7y)= 4x^2 + 14xy + 14xy + 49y^2= 4x^2 + 49y^2 + 28xy

d)  (t - 5)^2=(t - 5)(t - 5)= t^2 - 5t - 5t - 25= t^2 - 10t - 25

e) (4p - 5)^2= (4p - 5)(4p - 5)= 16p^2 - 20p - 20p - 25= 16p^2 - 40p - 25

f)(12k - 5l)^2= (12k - 5l)(12k - 5l)= 144k^2 - 60kl - 60kl - 25l^2= 144k^2 - 120kl - 25l^2

g) (m + 9)*(m - 9)= m^2 - 9m + 9m - 81= m^2 - 81

 h) (4x + 3)*(4x - 3)= 16x^2 - 12x + 12x - 9= 16x^2 - 9

i) (5a - 4c)*(5a + 4c)= 25a^2 + 20ac - 20ac - 16c^2 = 25a^2  - 16c^2