Question

7. Find the products using suitable property.
ii. (-21) *(-17)+(-21)*(-3)​

Answer 1

Explanation:

For solving this question, we use the distributive property.

It states that for any three numbers a, b and c,

$a * b + a * c = a * (b+ c)$

Therefore, in this question,

(-21) x (-17) + (-21) x (-3)

= (-21) x [(-17) + (-3)]

= (-21) x [-17 - 3]

= (-21)(-20)

= 420

Simpler explanation:

An example can be taken of three numbers, say -1, -2, -3.

(-1) x (-2) + (-1) x (-3)

= 2 + 3

= 5

This can also be written as

(-1) x (-2) + (-1) x (-3)

= (-1) x (-2 - 3)

= (-1) x (-5)

= 5

This is Distributive Property.

Hence,

(-21) x (-17) + (-21) x (-3)

= (-21) x [(-17) + (-3)]

= (-21) x [-17 - 3]

= (-21)(-20)

= 420

Answer: 420

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