Question

Find the product using suitable property
988*(-25)+(-988)*(-75)

Answer 1

Dear Student

$$\begin{gathered} \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{988}\mathbf{\times }\mathbf{(}\mathbf{-}\mathbf{25}\mathbf{)}\mathbf{+}\mathbf{(}\mathbf{-}\mathbf{988}\mathbf{)}\mathbf{\times }\mathbf{(}\mathbf{-}\mathbf{75}\mathbf{)} \\ \mathbf{=}\mathbf{988}\mathbf{\times }\mathbf{(}\mathbf{-}\mathbf{25}\mathbf{)}\mathbf{+}\mathbf{988}\mathbf{\times }\mathbf{75}\mathbf{}\mathbf{}\mathbf{}\mathbf{[}\mathbf{s}\mathbf{i}\mathbf{n}\mathbf{c}\mathbf{e}\mathbf{,}\mathbf{}(-)\mathbf{\times }(-)\mathbf{=}(+)\mathbf{]} \\ Taking988common \\ =988\times \left(-25+75\right)=988\times 50 \\ =\mathbf{49400} \end{gathered}$$
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