Question

18×(-3)+(-2)×(-18) using distributive property

Answer 1

18×(-3-2)
18×(-5)
-90
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Answer 2

Distributive Property :

Equation after arranging like terms together :

$18\times(-3)+(-18)\times(-2)$

$= 18({-3}+{2})$

NOTE :

HERE FROM BOTH THE SIDES OF '+', WR TOOK OUT 18 COMMON.

SINCE, IN THE SECOND SIDE WE HAVE (-18) HENCE, WHEN WE TAKE OUT 18 COMMON, WE ARE LEFT WITH (-1) AS
$(-1)\times(18) = -18$

HENCE, TO GET 18 COMMON, -1 IS LEFT AND WHEN (-1) IS MULTIPLIED BY (-2), WE GET (2) AS '-'×'-' = '+'

HENCE, ON SOLVING FURTHER,

= 18{(-3)+(2)} WE GET

= 18{(-1)}

= -18 .

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Alternative method ;

= 18 × (-3) + (-18) × (-2)

= -56 + (+36)

= -56 + 36

= -18.

Hence, From both the methods, we get same answer ;)