Explanation

36x^2y – 6xy^2
\rightarrow\ 6xy (6x – y)
Ans: 6xy (6x – y).

Factorizing the given expression: 4×2 + 4

Explanation

4x^2 + 4
\rightarrow\ 4 (x^2 + 1)
\rightarrow\ (2)^2 (x^2+1)
Ans: (2)^2 (x^2+1).

Factorizing the given expression: ax + bx

Explanation

ax + bx
\rightarrow\ x (a + b)
Ans: x (a + b).

Factorizing the given expression: ax2 – a2x

Explanation

ax^2 – a^2x
\rightarrow\ ax (x – a)
Ans: ax (x – a).

Factorizing the given expression: a3y2 – a2y3

Explanation

a^3y^2 – a^2y^3
\rightarrow\ a^2y^2 (a – y)
Ans: a^2y^2 (a – y).

Factorizing the given expression: x2yz + xyz2

Explanation

x^2yz + xyz^2
\rightarrow\ xyz (x + z)
Ans: xyz (x + z).

Factorizing the given expression: 45y4 – 9xy3

Explanation

45y^4 – 9xy^3
\rightarrow\ 9y^3 (5y – x)
Ans: 9y^3 (5y – x).

Factorizing the given expression: 5x4y2 + 10x2y4

Explanation

5x^4y^2 + 10x^2y^4
\rightarrow\ 5x^2y^2 (x^2 + 2y^2)
\rightarrow\ 5 (xy)^2 (x^2 + 2y^2)
Ans: 5 (xy)^2 (x^2 + 2y^2).

Factorizing the given expression: – p3y – py3 + py

Explanation

– p^3y – py^3 + py
\rightarrow\ py – py^3 – p^3y
\rightarrow\ py (1 – y2 – p2)
Ans: py (1 – y2 – p2).

Factorizing the given expression: 7x4y2z2 + 49x2y5z2 + 63x2y2z6

Explanation

7x^4y^2z^2 + 49x^2y^5z^2 + 63x^2y^2z^6
\rightarrow\ 7x^2y^2z^2 (x^2 + 7y^3 + 9z^4)
Ans: 7x^2y^2z^2 (x^2 + 7y^3 + 9z^4).

Factorizing the given expression: 72bat + 36mat – 144table

Explanation

72bat + 36mat – 144table
\rightarrow\ 36at (2b + m – 4ble)
\rightarrow\ (6)2 at (2b + m – 4ble)
Ans: (6)^2 at (2b + m – 4ble).

Factorizing the given expression: 84a9b7 – 140a7b9

Explanation

84a^9b^7 – 140a7b^9
\rightarrow\ 28a^7b^7 (2a^2 – 5b^2)
Ans: 28a^7b^7 (2a^2 – 5b^2).

Factorizing the given expression: 9a3b2c – 81a2b3c2 + 36a2bc3

Explanation

9a^3b^2c – 81a^2b^3c^2 + 36a^2bc^3
\rightarrow\ 9a^2bc (ab – 9b^2c + 4c^2)
Ans: 9a^2bc (ab – 9b^2c + 4c^2).

Factorizing the given expression: a6b5c4 – a5b6c4 + a4b5c6

Explanation

a^6b^5c^4 – a^5b^6c^4 + a^4b^5c^6
\rightarrow\ a^4b^5c^4 (a^2 – ab + c^2)
Ans: a^4b^5c^4 (a^2 – ab + c^2).

Factorizing the given expression: 17a7b8c9 + 68a7b6c9 – 85a7b5c9

Explanation

17a^7b^8c^9 + 68a^7b^6c^9 – 85a^7b^5c^9
\rightarrow\ 17a^7b^5c^9 (b^3 + 4b – 5)
Ans: 17a^7b^5c^9 (b^3 + 4b – 5).

Factorizing the given expression: 29x4y4z4 – 56x3y3z2 – 87x2y2z2

Explanation

29x^4y^4z^4 – 56x^3y^3z^2 – 87x^2y^2z^2
\rightarrow\ 29x^2y^2z^2 (x^2y^2z^2 – 2xy – 3)
Ans: 29x^2y^2z^2 (x^2y^2z^2 – 2xy – 3).

Factorizing the given expression: 13p6q5r4s3 – 39p5q4r3s2 + 52p4q3r2s1

Explanation

13p^6q^5r^4s^3 - 39p^5q^4r^3s^2 + 52p^4q^3r^2s^1
\rightarrow\ 13p^4q^3r^2s (p^2q^2r^2s^2 – 3pqrs + 4)
Ans: 13p^4q^3r^2s (p^2q^2r^2s^2 – 3pqrs + 4).