Question

Solve this in distributing -(5.3x-7y)-9.6

Answer 1

`-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y`

Explanation:

Given the expression

`-\left(5.3x-7y\right)* \left(-9.6\right)`

`=-\left(-9.6\right)\left(5.3x-7y\right)`

Apply distributive law

`a\left(b-c\right)=ab-ac`

`a=-\left(-9.6\right),\:b=5.3x,\:c=7y`

so the expression becomes

`=-\left(-9.6\right)* \:5.3x-\left(-\left(-9.6\right)\right)* \:7y`

`=-\left(-9.6\right)* \:5.3x+7\left(-9.6\right)y` ∵
`-\left(-a\right)=a`

`\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a`

`=9.6* \:5.3x-7* \:9.6y`

`=50.88x-7* \:9.6y`

`=50.88x-67.2y`

Therefore,

`-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y`