Question

product of (x^2+y^2) (x^3-y^3)​

Answer 1

Answer:

(x^2+y^2) (x^3-y^3)

x^5 - x^2y^3 + y^2x^3 - y^5

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Answer 2

Answer:

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8th

Maths

Algebraic Expressions and Identities

Operations on Algebraic Expressions

Find the product of 3x3y2 a...

MATHS

Find the product of 3x

3

y

2

and (2x−3y). Also, verify the result for x=−1,y=2.

EASY

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ANSWER

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.

Step-by-step explanation:

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