To find: the product of two polynomials (2r+11s) and (4r-9s) using indicated operation

CMIIh

CMIIh

Answered question

2021-07-29

To find: The product of two polynomials (2r+11s) and (4r9s) using indicated operation

Answer & Explanation

unett

unett

Skilled2021-07-30Added 119 answers

Step 1
Given that (2r+11s)(4r9s)
To find the product of teo polynomials (2r+11s) and (4r9s), is to distribute each term of (2r+11s), multiplying by each term of (4r9s)
=2r(4r9s)+11s(4r9s)
=8r218rs+44sr99s2 [Distributive law]
=8r2+(4418)sr99s2 [Grouping like terms]
=8r2+26sr99s2 [adding coefficients of like terms]
Step 2 NKS Foil method:
(2r+11s)(4r9s)=(2r)(4r)+(2r)(9s)+(11s)(4r)+(11s)(9s)
=8r218rs+44sr99s2 [Multiply]
=8r2+(4418)sr99s2 [Grouping like terms]
=8r2+26sr99s2 [adding coefficients of like terms]
Therefore: (2r+11s)(4r9s)=8r2+26sr99s2
Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-07Added 2605 answers

Answer is given below (on video)

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