Find the product using suitable properties : |
(a) \[26\times \left( -48 \right)+\left( -36 \right)\times \left( -48 \right)\] |
(b) \[15\times \left( -25 \right)+\left( -4 \right)\times \left( -25 \right)\] |
(c) \[7\times (50-2)\] |
Answer:
(a) \[26\times \left( 48 \right)+\left( 36 \right)\times \left( 48 \right)=\]\[\left[ 26+\left( 36 \right) \right]\times \] \[\left( 48 \right)\] \[=\text{ }\left( 10 \right)\times \left( 48 \right)\], [by distributive property] = 480 (b) \[15\times \left( 25 \right)+\left( 4 \right)\times \left( 25 \right)=\left[ 15+\left( 4 \right) \right]\] \[\times \left( 25 \right)\] [by distributive property] = (11) × (? 25) = ? 275 1 (c) \[7\times \left( 502 \right)=7\times 507\times 2\] = 350 ? 14 = 336 [distributivity of multiplication over subtraction]
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