Question

35.(115-57)-115.(35-57)

 

Answer 1

\(35\cdot\left(115-57\right)-115\cdot\left(35-57\right)\)

\(=35\cdot115-35\cdot57-115\cdot35+115\cdot57\)

\(=\) \(-35\cdot57+115\cdot57\)

\(=57\cdot\left(-35+115\right)=57\cdot80=4560\)

Answer 2

\(35.\left(115-57\right)-115.\left(35-57\right)\\ =35.115-35.57-115.35+115.57\\ =\left(35.115-115.35\right)+\left(-35.57+115.57\right)\\ =0+57.\left(-35+115\right)\\ =57.80=4560\)

Answer 3

\(\text{35 ⋅ ( 115 − 57 ) − 115 ⋅ ( 35 − 57 )}\)

\(\text{= 35 ⋅ 115 − 35 ⋅ 57 − 115 ⋅ 35 + 115 ⋅ 57}\)

\(\text{= − 35 ⋅ 57 + 115 ⋅ 57}\)

\(\text{= 57 ⋅ 80 }\)

\(\text{= 4560}\)