Question
Asked Nov 21, 2019
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(5y2+4y+2)(y2+3y+4)

Multiply?

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Expert Answer

Step 1

We have to multiply the given trinomials.

(5y' +4y+2)(y' +3y+ 4)
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(5y' +4y+2)(y' +3y+ 4)

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Step 2

Apply distributive property.

(5y+ 4y+2)(y +3y +4)
5y (y)+5y (3y)+5y( 4)+ 4y(y°)+4y( 3y)+ 4y( 4)+2(y?)+2(3y)+2(4)
=5y22 5(3)y5(4)y+ 4y2 +4(3) y +4(4)y+2y2(3)y +8
5y +15y +20y + 4y' +12y? +16y+2y +6y +8
1+1
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(5y+ 4y+2)(y +3y +4) 5y (y)+5y (3y)+5y( 4)+ 4y(y°)+4y( 3y)+ 4y( 4)+2(y?)+2(3y)+2(4) =5y22 5(3)y5(4)y+ 4y2 +4(3) y +4(4)y+2y2(3)y +8 5y +15y +20y + 4y' +12y? +16y+2y +6y +8 1+1

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Step 3

Now group like terms an...

=5y +(15y' +4y+ (20y +12y2 + 2y?)+(16y +6y)+ 8
-5y19y34y +22y +8
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=5y +(15y' +4y+ (20y +12y2 + 2y?)+(16y +6y)+ 8 -5y19y34y +22y +8

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Math

Algebra