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Answer :
Answer:
16[tex]x^{6}[/tex] - 49[tex]x^{4}[/tex]
Step-by-step explanation:
given the polynomial expression
[tex]x^{4}[/tex] (4x - 7)(4x + 7)
(4x - 7)(4x + 7) are the factors of a difference of squares , that is
(x - a)(x + a) = x² - a² , then
(4x - 7)(4x + 7) = (4x)² - 7² = 16x² - 49
The polynomial expression can now be expressed as
[tex]x^{4}[/tex] (16x² - 49) ← distribute parenthesis by [tex]x^{4}[/tex]
= 16[tex]x^{6}[/tex] - 49[tex]x^{4}[/tex]
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