Respuesta :

Combine like terms: -81t^2 + 16
Hey Tro2, 

Lets find the product of your equation together, 

The question we are encountering is : What is the product (9t-4)(-9t-4)? 

          Lets simplify this step by step, shall we. 

[tex]\left(9t-4\right)\left(-9t-4\right)[/tex]   : Equation 

           [tex]\mathrm{Distribute\:parentheses\:using}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]. 

Where : [tex]a=9t,\:b=-4,\:c=-9t,\:d=-4[/tex] .

This leads to [tex]9t\left(-9t\right)+9t\left(-4\right)-4\left(-9t\right)-4\left(-4\right)[/tex]. 

Now we have to [tex]\mathrm{Apply\:minus-plus\:rules}[/tex]. 

Where: [tex]-\left(-a\right)=a,\:\:\:\:+\left(-a\right)=-a[/tex] 

[tex]-9t\cdot \:9t-9t\cdot \:4+4\cdot \:9t+4\cdot \:4[/tex] 

[tex]=-81t^2+16[/tex]