Mathematics: X2y4(x2 - 16) - 9y4(x4 - 16) how do i simply this?

If a=b, then |a| = |b|Converse: if |a| = |b|, then a= b.The bi-conditional isn t true. Counterexample: |5| = |-5|; 5 =/= -5 ...

X2y4(x2 - 16) - 9y4(x4 - 16) how do i simply this? - id24216944167987584, ginocousins06

LaToyaShante1228

03.02.2022

The simplified expression is given as

8x^2y^4(17x^2-2)

Step-by-step explanation:

step one:

Given the expression

x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)

step two:

First, let us open the bracket we have

$x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\$

step three:

collect like terms we have

$x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\$

step four:

we can now factor out 8x^2y^4 we have

8x^2y^4(17x^2-2)

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