An expression is given. Rewrite the expression as the product of two binomials?

Question

x^4-144

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Answer 1 · 2018-04-18T03:01:22

#(x^2+12)(x^2-12)#

Recall the difference of squares, which tells us that

#(x^2-a^2)=(x+a)(x-a)#

This can be applied to higher-order binomials as well, such as #x^4-144#. We'll rewrite as

#(x^4-144)=[(x^2)^2-(12)^2]#

So, we can then rewrite as

#(x^2+12)(x^2-12)#