Answer:
[tex]-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y[/tex]
Step-by-step explanation:
Given the expression
[tex]-\left(5.3x-7y\right)\times \left(-9.6\right)[/tex]
[tex]=-\left(-9.6\right)\left(5.3x-7y\right)[/tex]
Apply distributive law
[tex]a\left(b-c\right)=ab-ac[/tex]
[tex]a=-\left(-9.6\right),\:b=5.3x,\:c=7y[/tex]
so the expression becomes
[tex]=-\left(-9.6\right)\times \:5.3x-\left(-\left(-9.6\right)\right)\times \:7y[/tex]
[tex]=-\left(-9.6\right)\times \:5.3x+7\left(-9.6\right)y[/tex] ∵ [tex]-\left(-a\right)=a[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a[/tex]
[tex]=9.6\times \:5.3x-7\times \:9.6y[/tex]
[tex]=50.88x-7\times \:9.6y[/tex]
[tex]=50.88x-67.2y[/tex]
Therefore,
[tex]-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y[/tex]
