Find the product (2x-3y)(3x+y)

1.	Find the product (2x-3y)(3x+y)
Answer» Step-by-step explanation: 3X 3 y 2 ×(2x−3y) =3x 3 y 2 ⋅2x−3x 3 y 2 ⋅3y =6x 4 y 2 −9x 3 y 3 Now, for x=−1,y=2, we have L.H.S.- 3x 3 y 2 ×(2x−3y) =3(−1) 3 (2) 2 (2⋅(−1)−3⋅(2)) =3⋅(−1)⋅4×(−2−6) =(−12)×(−8) =96 R.H.S.- 6x 4 y 2 −9x 3 y 3 =6(−1) 4 (2) 2 −9(−1) 3 (2) 3 =6⋅1⋅4−9⋅(−1)⋅8 =24+72 =96 ∵ L.H.S. = R.H.S. Hence VERIFIED.

Answer»

Step-by-step explanation:

×(2x−3y)

=3x

⋅2x−3x

⋅3y

=6x

−9x

Now, for x=−1,y=2, we have

L.H.S.-

×(2x−3y)

=3(−1)

(2)

(2⋅(−1)−3⋅(2))

=3⋅(−1)⋅4×(−2−6)

=(−12)×(−8)

=96

R.H.S.-

−9x

=6(−1)

(2)

−9(−1)

(2)

=6⋅1⋅4−9⋅(−1)⋅8

=24+72

=96

∵ L.H.S. = R.H.S.

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