Solve using suitable property [name the property]
1]428 x[-23]+[-428]x(-223)
2] 105 x(-37)
To solve the expressions given, we will use the distributive property of multiplication over addition and subtraction. This property states that for any numbers a, b, and c:
1) Distributive Property: a * (b + c) = a * b + a * c
2) Distributive Property: a * (b - c) = a * b - a * c
Let's solve the given expressions using these properties:
1) 428 x [-23] + [-428] x (-223)
Using the distributive property, we can expand the expression as:
= (428 x -23) + (-428 x -223)
= -9844 + 95444
= 85600
So, the answer to the first expression is 85600.
2) 105 x (-37)
Using the distributive property, we can solve this expression as:
= -3885
So, the answer to the second expression is -3885.