1.原式=5(3a-2b)^2-2(2a+3b)^2-3(3a-2b)^2+4(2a+3b)^2
=2(3a-2b)^2+2(2a+3b)^2
=2(9a^2-12ab+4b^2)+2(4a^2+9b^2+12ab)
=18a^2+8a^2+8b^2+18b^2
=26a^2+26b^2
根據(jù)：(a-b)^2=(b-a)^2
2.原式={[a-(1/2)]*[a+(1/2)]}^2*[a^2+(1/4)]^2
=[a^2-(1/4)]^2*[a^2+(1/4)]^2
={[a^2-(1/4)]*[a^2+(1/4)]}^2
=a^8-(1/8)a^4+(1/256)
3.原式=(5/3)[(-3/4)x^6y^3+(6/5)x^3y^4-(9/10)xy^5]÷xy^3
=[(-5/4)x^6y^3+2x^3y^4-(3/2)xy^3]/xy^3
=(-5/4)x^5+2x^2y-(3/2)y^2
4．當(dāng)x= -3時 有:
4=a(-3)^5+b(-3)^3+c(-3)-2
即：-[a*3^5+b*3^3+c*3+2]=4 則:a*3^5+b*3^3+c*3=-6
當(dāng)x=3時:y=a*3^5+b*3^3+c*3-2=-6-2=-8