A question from algebraic expressions
SIMPLIFY USING IDENTITIES
(3.5a+ 4.5b)²- (3.5a- 4.5b)²
Answers
Answered by
9
Answer:
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Step-by-step explanation:
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Answered by
4
Answer:
-63ab
Step-by-step explanation:
We can use X²-Y² = (X+Y)(X-Y)
X = 3.5a-4.5b
Y = 3.5a+4.5b
X+Y = 7a
X-Y = -9 b
so (X+Y)(X-Y) = 7a(-9b) = -63ab
or we can open the square
(x-y)² = x²+y²-2xy
(x+y)² = x² + y² + 2xy
x = 3.5a y= 4.5b
(x-y)²- (x+y)² = x²+y²-2xy - (x² + y² + 2xy)
= -4xy
putting x & y values
= -4(3.5a)(4.5b) = -63 ab
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