(m+4)²-4(m+1)² решите

Question

(m+4)²-4(m+1)²
решите

Answer 1

(m+4)²-4(m+1)²=m²+8m+16-4(m²+2m+1)=m²+8m+16-4m²-8m-4=-3m²+12=12-3m²=3(4-m²)=3(2-m)(2+m)
или второй вариант по разности квадратов:
(m+4)²-4(m+1)²=(m+4)²-(2(m+1))²=(m+4)²-(2m+2))²=(m+4-2m-2)(m+4+2m+2)=(2-m)(3m+6)=3(2-m)(2+m)

Answer 2

M²+8m+16-4(m²+2m+1)=
m²+8m+16-4m²-8m-4=
-3m²=-12
m²=4
m=2
m=-2