Question

Can I Have The Answer? It’s a disgusting hard homework, and I would really appreciate it if you helped me.

Answer 1

-2c + 8d - 6

-6 + 5d - 2c + 3d

Explanation:

When multiplying terms in a bracket, you need to multiply the term outside the bracket to all the terms in the bracket.

-
`(2)/(5)`(15-20d+15c) = (-
`(2)/(5)` × 15) + (-
`(2)/(5)` × -20d) + (-
`(2)/(5)` × 15c)

Two minuses make a plus. One minus and one plus make a minus.

(-
`(2)/(5)` × 15) + (-
`(2)/(5)` × -20d) + (-
`(2)/(5)` × 15c) = (-6) + (8d) + (-2c)

Note that the terms can be presented in any order and still be correct.

(-6) + (8d) + (-2c) = -6 + 8d - 2c

Let us go through the options to see which ones are correct:

-2c + 8d - 6: Since all the terms are there, this option is correct!

-c + 40d - 8: Since none of the terms is there, this option is wrong.

-4c + 40d - 8: Since none of the terms is there, this option is wrong.

-3c + 8d - 3: Since (-3c) and (-3) are not the correct terms, this option is wrong.

-6 + 5d - 2c + 3d: If we evaluate the like terms (5d and 3d), the final answer would be -6 + 8d - 2c so this option is also correct!