Math, asked by divya980170, 8 months ago

9 x^3y+41x^2y+20xy^3 factorise it.​

Answers

Answered by nutanupa72
1

Answer:

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((9•(x3))•y)+((41•(x2))•y))+(22•5xy3)

Step 2 :

Equation at the end of step 2 :

(((9•(x3))•y)+(41x2•y))+(22•5xy3)

Step 3 :

Equation at the end of step 3 :

((32x3 • y) + 41x2y) + (22•5xy3)

Step 4 :

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

9x3y + 41x2y + 20xy3 = xy • (9x2 + 41x + 20y2)

Trying to factor a multi variable polynomial :

5.2 Factoring 9x2 + 41x + 20y2

Final result :

xy • (9x2 + 41x+20y2)

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