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Answer :

Solution:-

[tex]\longrightarrow[/tex] This problem can be tackled by using distributive property of multiplication .

It states for any three numbers a,b and c

[tex]\green{ \underline { \boxed{ \sf{(a±b)\times c = a \times c±b\times c}}}}[/tex]

Similarly,

[tex]\quad[/tex]23 × 45

[tex]\longrightarrow[/tex](21+2) ×45

[tex]\longrightarrow[/tex]21×45+2×45

[tex]\longrightarrow[/tex]945 + 90

[tex]\longrightarrow[/tex] 1035

It can also be done as-

[tex]\quad[/tex]23 × 45

[tex]\longrightarrow[/tex](25-2) ×45

[tex]\longrightarrow[/tex]25×45-2×45

[tex]\longrightarrow[/tex]1125-90

[tex]\longrightarrow[/tex] 1035