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Mathematics

Multiply and then verify:

-3x2y2 and (x - 2y) for x = 1 and y = 2.

Algebraic Expressions

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Answer

(-3x2y2) ×\times (x - 2y)

= (-3x2y2) ×\times x - (-3x2y2) ×\times 2y

= (-3x(2+1)y2) - (-6x2y(2+1))

= -3x3y2 + 6x2y3

For x = 1 and y = 2

(-3x2y2) ×\times (x - 2y) = -3x3y2 + 6x2y3

Taking LHS:

(-3x2y2) ×\times (x - 2y)

= (-3 x 12 x 22) x (1 - 2 x 2)

= (-3 x 1 x 4) x (1 - 4)

= (-12) x (- 3)

= 36

Now, taking RHS:

-3x3y2 + 6x2y3

= -3 x 13 x 22 + 6 x 12 x 23

= -3 x 1 x 4 + 6 x 1 x 8

= -12 + 48

= 36

Hence, LHS = RHS.

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