\(a,=\left(50-1\right)\left(50+1\right)\)
\(=50^2-1\)
\(=2499\)
\(b,55^2-45^2\)
\(=\left(55-45\right)\left(55+45\right)\)
\(=10.100\)
\(=1000\)
\(\text{a) }49.51=\left(50-1\right)\left(50+1\right)=50^2-1^2=2500-1=2499\)
\(\text{b) }55^2-45^2=\left(55+45\right)\left(55-45\right)=100.10=1000\)
\(49\cdot51\)
\(=\left(50-1\right)\cdot\left(50+1\right)\)
\(=50^2-1\)
\(=2499\)
\(55^2-45^2\)
\(=\left(55-45\right)\cdot\left(55+45\right)\)
\(=10\cdot100\)
\(=1000\)