Question

Find using suitable properties :
26X(-48) + (-48) X (-36)

Answer 1

$$\begin{gathered} \left(\mathbf{1}\right). \\ 26\times \left(-48\right)+\left(-48\right)\times \left(-36\right) \\ =\left(-48\right)\times \left[26+\left(-36\right)\right]\left[\mathbf{Distributive}\mathbf{}\mathbf{law}\right] \\ =\left(-48\right)\times \left(26-36\right) \\ =\left(-48\right)\times \left(-10\right) \\ =480 \\ \left(\mathbf{2}\right)\mathbf{.} \\ 8\times 53\times \left(-125\right) \\ =8\times \left(-125\right)\times 53\left[\mathbf{commutative}\mathbf{}\mathbf{law}\right] \\ =\left[8\times \left(-125\right)\right]\times 53 \\ =\left(-1000\right)\times 53 \\ =-53000 \\ \left(\mathbf{3}\right)\mathbf{.} \\ \left(-57\right)\times \left(-19\right)+57 \\ =\left(-57\right)\times \left(-19\right)+57\times 1 \\ =57\times 19+57\times 1 \\ =57\times \left(19+1\right)\left[\mathbf{Distributive}\mathbf{}\mathbf{law}\right] \\ =57\times 20 \\ =1140 \end{gathered}$$