\(x+3,[a=x, b=3]\)
\(x+3\) এর বর্গ,
\(=(x+3)^{2}\)
\(=(x)^{2}+2 \cdot x \cdot 3+(3)^{2}\)
\(=x^{2}+6 x+9\)

\(p+9,[a=p, b=9]\)
\(p+9\) এর বর্গ,
\(=(p+9)^{2}\)
\(=(p)^{2}+2 \cdot p\cdot 9+(9)^{2}\)
\(=p^{2}+18 p+81\)

\(6-x[a=6, b=x]\)
\(6-x\) -এর বর্গ,
\(=(6-x)^{2}\)
\(=(6)^{2}-2 \cdot 6 \cdot x+(x)^{2}\)
\(=36-12 x+x^{2}\)

\(y-2,[a=y, b=2]\)
\(y-2\) -এর বর্গ,
\(=(y-2)^{2}\)
\(=(y)^{2}-2 \cdot y \cdot 2+(2)^{2}\)
\(=y^{2}-4 y+4\)

\(\mathrm{mn}+l^{2},\left[\mathrm{mn}=\mathrm{a}, \mathrm{l}^{2}=\mathrm{b}\right]\)
\(\mathrm{mn}+\mathrm{l}^{2}\) এর বর্গ,
\(=\left(m n+l^{2}\right)^{2}\)
\(=(m n)^{2}+2 \cdot m n \cdot l^{2}+\left(l^{2}\right)^{2}\)
\(=m^{2} n^{2}+2 m n l^{2}+l^{4}\)

\(6 x+3,[a=6 x, b=3]\)
\(6 x+3\) -এর বর্গ,
\(=(6 x+3)^{2}\)
\(=(6 x)^{2}+2\cdot 6 x \cdot 3+(3)^{2}\)
\(=36 x^{2}+36 x+9\)

\(4 x+5 y,[a=4 x, b=5 y]\)
\(4 x+5 y\) এর বর্গ,
\(=(4 x+5 y)^{2}\)
\(=(4 x)^{2}-2\cdot 4 x \cdot 5 y+(5 y)^{2}\)
\(=16 x^{2}+40 x y+25 y^{2}\)

\(\mathrm{pqc}+2,[\mathrm{a}=\mathrm{pqc}, \mathrm{b}=2]\)
\(\mathrm{pqc}+2\) -এর বর্গ,
\(=(\mathrm{pqc}+2)^{2}\)
\(=(\mathrm{pqc})^{2}+2 \cdot \mathrm{pqc}\cdot 2+(2)^{2}\)
\(=\mathrm{p}^{2} \mathrm{q}^{2} \mathrm{c}^{2}+4 \mathrm{pqc}+4\)

\(\frac{5}{k}+3,\left[a=\frac{5}{k}, b=3\right]\)
\(\frac{5}{k}+3\) -এর বর্গ,
\(=\left(\frac{5}{k}+3\right)^{2}\)
\(=\left(\frac{5}{k}\right)^{2}+2 \cdot \frac{5}{k} \cdot 3+(3)^{2}\)
\(=\frac{25}{k^{2}}+\frac{30}{k}+9\)

\(\frac{3}{r}+\frac{2}{p},\left[a=\frac{3}{r}, b=\frac{2}{p}\right]\)
\(\frac{3}{r}+\frac{2}{p}\) এর বর্গ,
\(=\left(\frac{3}{r}+\frac{2}{p}\right)^{2}\)
\(=\left(\frac{3}{r}\right)^{2}+2 \cdot \frac{3}{r} \cdot \frac{2}{p}+\left(\frac{2}{p}\right)^{2}\)
\(=\frac{9}{r^{2}}+\frac{12}{r p}+\frac{4}{p^{2}}\)

\(\frac{p}{q}+\frac{m}{n},\left[a=\frac{p}{q}, b=\frac{m}{n}\right]\)
\(\frac{p}{q}+\frac{m}{n}\) এর বর্গ,
\(=\left(\frac{p}{q}+\frac{m}{n}\right)^{2}\)
\(=\left(\frac{\mathrm{p}}{\mathrm{q}}\right)^{2}+2 \cdot \frac{\mathrm{p}}{\mathrm{q}}\cdot \frac{\mathrm{m}}{\mathrm{n}}+\left(\frac{\mathrm{m}}{\mathrm{n}}\right)^{2}\)
\(=\frac{\mathrm{p}^{2}}{\mathrm{q}^{2}}+\frac{2 \mathrm{pm}}{\mathrm{qn}}+\frac{\mathrm{m}^{2}}{\mathrm{n}^{2}}\)

\(m^{2}+n^{2},\left[a=m^{2}, b=n^{2}\right]\)
\(m^{2}+n^{2}\) এর বর্গ,
\(=\left(m^{2}+n^{2}\right)^{2}\)
\(=\left(m^{2}\right)^{2}+2 \cdot m^{2}\cdot n^{2}+\left(n^{2}\right)^{2}\)
\(=m^{4}+2 m^{2} n^{2}+n^{4}\)

\(3 x y+4 z,[a=3 x y, b=4 z]\)
\(3 x y+4 z\) এর বর্গ,
\((3 x y+4 z)^{2}\)
\(=(3 x y)^{2}+2\cdot 3 x y \cdot 4 z+(4 z)^{2}\)
\(=9 x^{2} y^{2}+24 x y z+16 z^{2}\)

\(2 x+3 y+z,[a=2 x+3 y ; b=z]\)
\(2 x+3 y+z\) এর বর্গ,
\(=\{(2 x+3 y)+z\}^{2}\)
\(=(2 x+3 y)^{2}+2 \cdot(2 x+3 y) \cdot z+z^{2}\)
\(=(2 x)^{2}+2 \cdot 2 x \cdot 3 y+(3 y)^{2}+4 x z+6 y z+z^{2}\)
\(=4 x^{2}+12 x y+9 y^{2}+4 x z+6 y z+z^{2}\)
\(=4 x^{2}+9 y^{2}+z^{2}+12 x y+4 x z+6 y z\)

\(102=(100+2)\),
\([a=100, b=2]\)
\(100+2\) এর বর্গ,
\(=(100+2)^{2}\)
\(=(100)^{2}-2\cdot 100 \cdot 2+(2)^{2}\)
\(=10000+400+4=10404\)

\(p+q+r+s,[a=p+q, b=r+s]\)
\(p+q+r+s\) এর বর্গ,
\(=(p+q+r+s)^{2}\)
\(=(p+q)^{2}-2 \cdot(p+q) \cdot(r+s)+(r+s)^{2}\)
\(=p^{2}+2 \cdot p \cdot q+q^{2}+2 p(r+s)+2 q(r+s)+r^{2}+2 \cdot r \cdot s+s^{2}\)
\(=\mathrm{p}^{2}+2 \mathrm{pq}+\mathrm{q}^{2}+2 \mathrm{pr}+2 \mathrm{ps}+2 \mathrm{qr}+2 \mathrm{qs}+\mathrm{r}^{2}+2 \mathrm{rs}+\mathrm{s}^{2}\)
\(=\mathrm{p}^{2}+\mathrm{q}^{2}+\mathrm{r}^{2}+\mathrm{s}^{2}+2 \mathrm{pq}+2 \mathrm{qr}+2 \mathrm{rs}+2 \mathrm{qr}+2 \mathrm{pr}+2 \mathrm{qs}+2 \mathrm{ps}\)