Multiply the polynomials:(x+4y)^2(3x-2y)

Marvin Mccormick

Marvin Mccormick

Answered question

2021-09-12

Multiply the polynomials:
(x+4y)2(3x2y)

Answer & Explanation

Pohanginah

Pohanginah

Skilled2021-09-13Added 96 answers

GIven:
(x+4y)2(3x2y)
Since (a+b)2=a2+b2+2ab
Therefore, (x+4y)2=x2+16y2+8xy
Applying distributive law : a(b-c) = ab - ac
(x2+16y2+8xy)(3x2y)=(x2+16y2+8xy)(3x)(x2+16y2+8xy)(2y)
=(3x3+48xy2+24x2y)(2x2y+32y3+16xy2)
Answer: =3x3+22x2y+32xy232y3

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