What is the simplest form of the expression #8w^ { 2} ( - 6w ^ { 2} - 8) + ( - 4w ^ { 2} ) ( - 5w ^ { 2} - 8)#?

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Answer 1 · 2017-12-19T07:15:03

#color(blue)(-4[7w^4+8w^2])#

We are given the following algebraic expression:

#color(red){{8w^2(-6w^2-8)+(-4w^2)(-5w^2-8)}#

First, we will consider the following part:

#color(red){{8w^2(-6w^2-8)}#

On simplification, we get

#color(green)(-48w^4-64w^2)# .. Result.1

Next, we will consider the following part:

#color(red)((-4w^2)(-5w^2-8))#

On simplification, we get

#color(green)(20w^4+32w^2)# .. Result.2

In the next step, we will consider our intermediate results together:

#color(green)(-48w^4-64w^2)# .. Result.1

#color(green)(20w^4+32w^2)# .. Result.2

We will add both Result.1 and Result.2 to get

#color(blue)(-28w^4-32w^2)#

This result can be simplified, if you so wish:

#color(blue)(-4[7w^4+8w^2])#

Hope this helps.