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pantera1 [17]
3 years ago
6

Which polynomial is equivalent to (2h − 3k)(h + 5k)?

Mathematics
2 answers:
shutvik [7]3 years ago
7 0
2h^2 + 7hk  -15k^2
you can use factoring

Ierofanga [76]3 years ago
3 0

Answer:

Option (a) is correct.

An equivalent polynomial to the given polynomial \left(2h\:−\:3k\right)\left(h\:+\:5k\right) is 2h^2+7hk-15k^2

Step-by-step explanation:

Given : Polynomial \left(2h\:−\:3k\right)\left(h\:+\:5k\right)

We have to find an equivalent polynomial to the given polynomial \left(2h\:−\:3k\right)\left(h\:+\:5k\right)

Consider the given polynomial \left(2h\:−\:3k\right)\left(h\:+\:5k\right)

Apply FOIL method, \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

a=2h,\:b=-3k,\:c=h,\:d=5k

=2hh+2h\cdot \:5k+\left(-3k\right)h+\left(-3k\right)\cdot \:5k

Apply plus minus rule, +(-a)=-a

=2hh+2\cdot \:5hk-3hk-3\cdot \:5kk

Add similar terms, we have,

\:10hk-3hk=7hk

We have,

=2h^2+7hk-15k^2

Thus, An equivalent polynomial to the given polynomial \left(2h\:−\:3k\right)\left(h\:+\:5k\right) is 2h^2+7hk-15k^2

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