Explained: "How do you simplify 9x2−5x4?"

MMDCCVIII446

Answered question

2022-02-06

How do you simplify

9 x^{2} - 5 x^{4}

Macey Mata

Beginner2022-02-07Added 13 answers

Step 1

9 x^{2} - 5 x^{2}

extracting the obvious factor of

x^{2}

= x^{2} (9 - 5 x^{2})

remember that

(a^{2} - b^{2}) = (a - b) (a + b)

and substituting

9 = 3^{2}

for

a^{2}

and

5 x^{2} = {(\sqrt{5} x)}^{2}

for

b^{2}

= x^{2} (3 - \sqrt{5} x) (3 + \sqrt{5} x)

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