Question

Answer 1

a: \(28\cdot75+28\cdot26-28\)

\(=28\left(75+26-1\right)\)

\(=28\cdot100=2800\)

b: \(37\cdot54+37\cdot45+37\)

\(=37\left(54+45+1\right)=37\cdot100\)

=3700

e: \(37\cdot54+37\cdot45+37\)

\(=37\left(54+45+1\right)=37\cdot100\)

=3700

c: \(128\cdot73+128\cdot17+72\cdot143-53\cdot72\)

\(=128\left(73+17\right)+72\left(143-53\right)\)

\(=128\cdot90+72\cdot90=90\left(128+72\right)\)

\(=90\cdot200=18000\)

d: \(\frac{128\cdot4\cdot2^6}{9\cdot2^2\cdot4^3-4^4}\)

\(=\frac{2^7\cdot2^2\cdot2^6}{9\cdot2^2\cdot2^6-2^8}=\frac{2^7\cdot2^8}{2^8\left(9-1\right)}=\frac{2^7}{8}=2^4=16\)