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Factoring, Algebra
There are two questions :v

Factoring, Algebra There are two questions :v-example-1
Factoring, Algebra There are two questions :v-example-1
Factoring, Algebra There are two questions :v-example-2
User Lua
by
8.1k points

2 Answers

12 votes

Explanation:

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User RomanHouse
by
8.9k points
9 votes

Answer:

Explanation:

One

v^2 - 16

This formation is called the difference of squares. That's because there are 2 squares v^2 and 16. The key to this question is the minus sign.

The square root of v^2 = v

The square root of 16 = 4

You get (v + 4)(v - 4)

Let's see what happens when you expand it.

  • v*v = v^2
  • v*(-4) = - 4v
  • v*(4) = 4v
  • 4*-4 = - 16

Look what happens when you add these 4 terms together.

  • v^2 - 4v + 4v - 16
  • v^2 - 16

is what is left. The two middle terms cancel out.

Two

This one is a perfect square

w^2 + 16w + 64

(w + 8)(w + 8)

Notice both factors are the same. You might wonder how I new that.

w^2 is a perfect square so take the square root. .... v

64 is a perfect square so take the square root ..... 8

Now you have to work backwards to see if it is right.

  • w*w = w^2
  • w*8 = 8w
  • 8*w = 8w
  • 8^2 = 64

Adding you get w^2 + 16w + 64 which is what you started with.

User Jorge Machado
by
8.3k points

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