Mathematics
Multiply and then verify:
-3x2y2 and (x - 2y) for x = 1 and y = 2.
Algebraic Expressions
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Answer
(-3x2y2) (x - 2y)
= (-3x2y2) x - (-3x2y2) 2y
= (-3x(2+1)y2) - (-6x2y(2+1))
= -3x3y2 + 6x2y3
For x = 1 and y = 2
(-3x2y2) (x - 2y) = -3x3y2 + 6x2y3
Taking LHS:
(-3x2y2) (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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