[tex]\displaystyle\bf\\2)\\\\(m-6)(m+6)=m^{2} -6^{2}=m^{2} -36\\\\\\3)\\\\(3x-4y)^{2} =(3x)^{2} -2\cdot 3x\cdot 4y+(4y)^{2} =9x^{2} -24xy+16y^{2} \\\\\\4)\\\\(y+1)(y^{2} -y+1)=y^{3} +1^{3} =y^{3} +1\\\\\\5)\\\\(5a+8b)(8b-5a)=(8b)^{2} -(5a)^{2} =64b^{2} -25a^{2} \\\\\\6)\\\\\bigg(10a^{5} -\frac{1}{2} bc^{2} \bigg)\bigg(10a^{5} +\frac{1}{2} bc^{2} \bigg)=\bigg(10a^{5} \bigg)^{2} -\bigg(\frac{1}{2} bc^{2} \bigg)^{2} =\\\\\\=100a^{10} -\frac{1}{4} b^{2} c^{4}[/tex]
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[tex]\displaystyle\bf\\2)\\\\(m-6)(m+6)=m^{2} -6^{2}=m^{2} -36\\\\\\3)\\\\(3x-4y)^{2} =(3x)^{2} -2\cdot 3x\cdot 4y+(4y)^{2} =9x^{2} -24xy+16y^{2} \\\\\\4)\\\\(y+1)(y^{2} -y+1)=y^{3} +1^{3} =y^{3} +1\\\\\\5)\\\\(5a+8b)(8b-5a)=(8b)^{2} -(5a)^{2} =64b^{2} -25a^{2} \\\\\\6)\\\\\bigg(10a^{5} -\frac{1}{2} bc^{2} \bigg)\bigg(10a^{5} +\frac{1}{2} bc^{2} \bigg)=\bigg(10a^{5} \bigg)^{2} -\bigg(\frac{1}{2} bc^{2} \bigg)^{2} =\\\\\\=100a^{10} -\frac{1}{4} b^{2} c^{4}[/tex]