Question

Calculati : (5-2X)(5+2X)+(1-4X)². Vreau rezolvarea completa a acestui exercitiu !

Answer 1

(5-2X)(5+2X)+(1-4X)²   

(5-2X)(5+2X) se aplica: (a-b)(a+b)=(a²-b²)  deci

(5-2X)(5+2X)=25-4x²

 iar pentru (1-4X)²   se aplica (a-b)²=a²-2ab+b² deci 
(1-4X)²  =1-8x+16x²

inlocuind in expresia initiala va rezulta:

=25-4x²+1-8x+16x²

=12x²-8x+26

Answer 2

$(5-2x)(5+2x)+(1-4x)^2= 25-4x^2+1^2-2 \cdot 1 \cdot 4x+(4x)^2= \\ =25-4x^2+1-8x+16x^2=12x^2-8x+26$