1) ((79+41)(79²-79*41+41²))/120-79*41=(79²-79*41+41²)-(79*41)=79²+41²=4560
2) a) 7b⁴-56b=7b(b³-8)=7b(b³-2³)
b) a⁴-12a³+48a²-64a=a³(a-12)+16a(3a-4)=
c) c²(c+4c)+2d(c+4c)=(c²+2d)(c+4c)=(c²+2d)5c
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Answers & Comments
1) ((79+41)(79²-79*41+41²))/120-79*41=(79²-79*41+41²)-(79*41)=79²+41²=4560
2) a) 7b⁴-56b=7b(b³-8)=7b(b³-2³)
b) a⁴-12a³+48a²-64a=a³(a-12)+16a(3a-4)=
c) c²(c+4c)+2d(c+4c)=(c²+2d)(c+4c)=(c²+2d)5c