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# Multiply:

$[-3d + (-7f)]$ by $(5d +f)$

To do:

We have to multiply $[-3d + (-7f)]$ by $(5d +f)$

Solution:

We know that,

$(a+b)\times(c+d)=a(c+d)+b(c+d)$

Therefore,

$[-3d + (-7f)]\times(5d +f)=-3d(5d +f) + (-7f)(5d +f)$

$= -15d^2-3df-35df-7f^2$

$= -15d^2-38df-7f^2$

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