\(1,\\ a,=9b^2+5ab+\dfrac{25a^2}{36}\\ b,=25x^2-10xy+y^2\\ c,=4a^2-\left(b-5\right)^2=4a^2-b^2+10b-25\\ d,=x^4-\dfrac{4}{25}y^2\\ 2,\\ a,=\left(a-3\right)^2\\ b,=\left(\dfrac{1}{2}x+2y^2\right)^2\\ 3,\\ a,=a^2+2a+1-a^2+2a-1-3a^2+3=-3a^2+4a+3\\ b,=\left(m^3-m+1-m^2+3\right)^2\\ =\left(m^3-m^2-m+4\right)^2\\ 4,\\ a,\Leftrightarrow-9x^2+30x-25+9x^2+18x+9=30\\ \Leftrightarrow48x=46\Leftrightarrow x=\dfrac{23}{24}\\ b,\Leftrightarrow x^2+8x+16-x^2+1=16\\ \Leftrightarrow8x=-1\Leftrightarrow x=-\dfrac{1}{8} \)
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