Factor the polynomial: 18x^{3}+48x^{2}y+32xy^{2}

eiraszero11cu

eiraszero11cu

Answered question

2021-12-11

Factor the polynomial:
18x3+48x2y+32xy2

Answer & Explanation

twineg4

twineg4

Beginner2021-12-12Added 33 answers

Step 1
Given:
18x3+48x2y+32xy2
Step 2
Now factorizing,
18x3+48x2y+32xy2=18xx2+48x2y+32xy2
18x3+48x2y+32xy2=2x(9x2+24xy+16y2) [ Taking 2x common.]
18x3+48x2y+32xy2=2x[9x2+12xy+12xy+16y2]
18x3+48x2y+32xy2=2x[3x(3x+4y)+4y(3x+4y)] [ Taking 3x common.]
18x3+48x2y+32xy2=2x[(3x+4y)(3x+4y)]
18x3+48x2y+32xy2=2x[(3x+4y)2]
18x3+48x2y+32xy2=2x(3x+4y)2

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