a. 34^2 + 66^2 + 68 x 66
= 34 x 34 + 66 x 66 + 68 x 66
= 34 x 34 + 66 x (66 + 68)
= 34 x 34 + 66 x 134
= 34 x 34 + 66 x 34 + 66 x 100
= 34 x (34 + 66) + 66 x 100
= 34 x 100 + 66 x 100
= (34 + 66) x 100
= 100 x 100
= 10000
\(34^2+66^2+68.66\)
\(=34.34+66.66+68.66\)
\(=34.34+66.\left(68+66\right)\)
\(=34.34+66.134\)
\(=34.34+66.\left(100+34\right)\)
\(=34.34+66.100+66.34\)
\(=34.\left(66+34\right)+66.100\)
\(=34.100+66.100\)
\(=\left(34+66\right).100\)
\(=100^2\)
\(=10000\)