Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given the expression

$-\left(5.3x-7y\right)\times \left(-9.6\right)$

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

Apply distributive law

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

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

so the expression becomes

$=-\left(-9.6\right)\times \:5.3x-\left(-\left(-9.6\right)\right)\times \:7y$

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

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

$=9.6\times \:5.3x-7\times \:9.6y$

$=50.88x-7\times \:9.6y$

$=50.88x-67.2y$

Therefore,

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