Question

Find the product using suitable property
625×(-35)+(-625)×35 . Quality answer required

Answer 1

ANSWER

{-43750}

Step By Step Explanation

Now here we have →

625×(-35)+(-625)×35

We shall use a property called DISTRIBUTIVE PROPERTY to solve up this question.

Now,by using DISTRIBUTIVE PROPERTY we have →

${625\times (-35)} + {625 \times(-1)\times 35}$

${625\times (-35)} + {625 \times(-35)}$

Taking 625 common from both →

$\implies 625\times(-35 - 35)$

$\implies 625\times(-70)$

$\implies -43750$

Extra Information

What does distributive property means?

Ans. Let us assume an expression

ba + ca

-Here we can see a term common in both the terms which are to added.

-So we shall take them as common outside the bracket and then will add the expression which will be inside of the brackets.

Now, the expression become →

a.(b + c)

Let us assume b+c gives some number 'd', so we →

a.d as the product.

-So, from the above example we conclude that distributive property is the property that allows us to multiply an sum by multiplying each addend separately and then add the products which we get.

Answer 2

Answer:

Hello there!

Step-by-step explanation:

ab + ab = 2ab (Associative law of addition)

so, 2*(- 625*35) = - 2*625*35, it can also be written as ( (a-b)^2 - a^2 - b^2)

                          = -2*625*35 ( Associative law of multiplication)

                          = - 43750

I am not sure, which property u want, but tell any more context for more different answers.