Complete Question:
What is the product? [tex]\left(-2 x-9 y^{2}\right)(-4 x-3)[/tex]
Answer:
The product of [tex]\left(-2 x-9 y^{2}\right)(-4 x-3)[/tex] is [tex]-8 x^{2}+6 x+36 x y^{2}+27 y^{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(-2 x-9 y^{2}\right)(-4 x-3)[/tex]
Multiply – 2 x with (- 4 x – 3), we get
[tex]-2 x(-4 x-3)=-8 x^{2}+6 x[/tex]
Multiply [tex]-9 y^{2}[/tex] with (- 4 x – 3), we get
[tex]-9 y^{2}(-4 x-3)=36 x y^{2}+27 y^{2}[/tex]
Now, connecting both the solved equations, we get
[tex]\left(-2 x-9 y^{2}\right)(-4 x-3)=-8 x^{2}+6 x+36 x y^{2}+27 y^{2}[/tex]
