Question

Vasily states that−6(5g−7h+9−10g)

can be rewritten as−30g+42h−54
.

Which of these explains whether Vasily is correct?

A
Vasily is not correct. He should have rewritten the original expression as −6(−5g−7h+9)
and then as 30g+42h−54
.
B
Vasily is correct. He can rewrite the original expression as −6(−5g−7h+9)
and then as −30g+42h−54
.
C
Vasily is correct. He can rewrite the original expression as −6(5g−7h+9)
and then as −30g+42h−54
.
D
Vasily is not correct. He should have rewritten the original expression as −6(5g−7h+9)
and then as 30g−42h+54
.

Answer 1

A. Vasily is not correct. He should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.

Explanation:

Given the expression;

`-6 (5g - 7h + 9 - 10g)`

Rearranging the above, we have;

`-6 (5g - 10g - 7h + 9)`

Simplifying, we have;

`-6 (-5g - 7h + 9)`

Multiply, to open the bracket;

`30g + 42h - 54`

Therefore, Vasily should have rewritten the original expression as −6(−5g−7h+9) and then as 30g+42h−54.