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vredina [299]
3 years ago
14

11. factor the expression. k2 – 16h2 (k 4h)(k – 4h) (k – 4h2)(k 4) h2(k 4)(k – 4) (k 4h)(k 4h)

Mathematics
2 answers:
ANEK [815]3 years ago
7 0
Use\ a^2-b^2=(a-b)(a+b)\\\\k^2-16h^2=k^2-4^2h^2=k^2-(4h)^2=(k-4h)(k+4h)
RoseWind [281]3 years ago
7 0

Answer:

The correct option is 1.

Step-by-step explanation:

The given expression is

k^2-16h^2

It can be rewritten as

k^2-(4h)^2               .... (1)

The formula for difference of squares:

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

In equation (1), a=h and b=4h. Using the above formula we get

k^2-(4h)^2=(k-4h)(k+4h)

The factor form of given expression is (k-4h)(k+4h). Therefore the correct option is 1.

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