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Factorize completely 80p2 – 180r2
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Factorize completely
80p2 – 180r2
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Mathematics
6 months
2021-08-31T10:13:42+00:00
2021-08-31T10:13:42+00:00 2 Answers
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Answers ( )
Answer:
80p2 – 180r2
20(4p²-9r²)
20(2p+3r)(2p-3r)
Answer:
20(2p – 3r)(2p + 3r)
Step-by-step explanation:
Given
80p² – 180r² ← factor out 20 from each term
= 20(4p² – 9r²) ← difference of squares which factors in general as
a² – b² = (a – b)(a + b)
4p² – 9r²
= (2p)² – (3r)² ← with a = 2p and b = 3r
= (2p – 3r)(2p + 3r)
Thus
80p² – 180r² = 20(2p – 3r)(2p + 3r) ← in factored form