Question

verify the following (distributive property) (-25)*(-7)+(-15)=((-25)*(-7))+((-25)*-(-15))​

Answer 1

Answer:

(-25)*(-7)+(-15)=((-25)*(-7))+((-25)*-(-15))

(175)+(-15)=(175)+(-25)*15

175-15=(175)+(-375)

175-15=175-375

160=-200

Answer 2

Answer:

 (-25)×[(-7 ) + (-15)]  = {(-25)× (-7)+ (-25)× (-15)} proved.

Step-by-step explanation:

Explanation:

According to the question we need to verify,

$(-25)$×[(-7 ) + (-15)]  = {(-25)× (-7)+ (-25)×(-15)}

• Distributive property - The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive principle of binary operations.

• Property, a × ( b + c) = [(a × b) + (a ×c)]

Step 1:

We have LHS = (-25)×[(-7 ) + (-15)]  

⇒ -25 × [-7 -15 ] = -25 × (-22)

⇒ 550

So, LHS = -550

Now, we have RHS =  {(-25)× (-7)+ (-25)× (-15)}

⇒175 + 375 = 550.

Therefore, LHS = RHS = 550.

Final answer:

Hence, here we verified that  (-25)×[(-7 ) + (-15)]  = {(-25)× (-7)+ (-25)× (-15)}

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