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[latex](A\pm B)^2=A^2\pm 2AB+B^2\; ,\; \; \Big (A^{n}\Big )^{k}=A^{nk}\; ,\; \; A^{n}\cdot A^{k}=A^{n+k}\\\\\\1)\quad (x^4-x^2)^2=(x^4)^2-2x^4\cdot x^2+(x^2)^2=x^8-2x^6+x^4\\\\2)\quad (y^4+y^3)^2=(y^4)^2+2y^4\cdot y^3+(y^3)^2=y^8+2y^7+y^6\\\\3)\quad (-3a+4b^3)^2=(-3a)^2+2\cdot (-3a)\cdot 4b^3+(4b^3)^2=9a^2-24ab^3+16b^6\\\\4)\quad (-2-5x)^2=(-(2+5x))^2=(-1)^2\cdot (2+5x)^2=\\\\=+1\cdot (2^2+2\cdot 2\cdot 5x+(5x)^2)=4+20x+25x^2\\\\5)\quad (1\frac{1}{3}m+3\frac{3}{5}n)^2=(\frac{4}{3}m+\frac{18}{5}n)^2=\\\\=(\frac{4}{3}m)^2+2\cdot \frac{4}{3}m\cdot \frac{18}{5}n+(\frac{18}{5}n)^2=\frac{16}{9}m^2+\frac{144}{15}mn+\frac{324}{25}n^2\\\\6)\quad (6ab^2-a^2b)^2=(6ab^2)^2-2\cdot 6ab^2\cdot a^2b+(a^2b)^2=\\\\=36a^2b^4-12a^3b^3+a^4b^2\\\\7)\quad (5a^4-2a^2b^4)^2=(5a^4)^2-2\cdot 5a^4\cdot 2a^2b^4+(2a^2b^4)^2=25a^8-20a^6b^4+4a^4b^8[/latex]