Express as a polynomial. (r^{2}+8r-2)(r^{2}+3r-1)

Kathy Williams

Kathy Williams

Answered question

2021-12-11

Express as a polynomial. (r2+8r2)(r2+3r1)

Answer & Explanation

Matthew Rodriguez

Matthew Rodriguez

Beginner2021-12-12Added 32 answers

Step 1
Given expression:
(r2+8r2)(r2+3r1)
Step 2
Consider,
(r2+8r2)(r2+3r1)=r2(r2+3r1)+8r(r2+3r1)2(r2+3r1)...Use the distributive property.
=[r2(r2)+r2(3r)+r2(2)]+[(8r)(r2)+(28r)(3r)+(8r)(2)][2r2+(2)(3r)(2)(1)]
=r4+3r32r2+8r3+24r216r2r26r+2
=r4+(3r3+8r3)+(2r2+24r22r2)+(16r6r)+2...Collect like terms together.
=r4+11r3+20r222r+2
Thus,
(r2+8r2)(r2+3r1)=r4+11r3+20r222r+2

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