Question

Verify:
(-5)×((-4)-(-6))=(-5)×(-4)-(-5)×(-6)

Answer 1

Answer: true

Step-by-step explanation:

-5×(-4+6)=-5×2

=-10--(1)

(-5×-4)-(-5×-6)=20-30

=-10--(2)

(1)=(2)

therefore it's true

Answer 2

The equation is correct, as The LHS = RHS.

Given: (-5)×((-4)-(-6))=(-5)×(-4)-(-5)×(-6)

To Find: to verify if the LHS = RHS

Solution:

(-5)×((-4)-(-6))=(-5)×(-4)-(-5)×(-6)

rewrite the equation after removing the parentheses

or, (-5) × (-4 + 6) = 5 × 4 + 5 × (-6)

Calculate

or, (-5) × 2 = 5 × 4 - 30

by multiplying the above equation we get:

or, - 10 = 20 - 30

Check the equality

or,  -10 = - 10

Both side are equal.

∴ LHS = RHS

Hence, it is verified that the above equation is correct.

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