Show that : (4x+9)2 – 144x = (4x-9)2
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Answered by
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Answer:
Left hand side = Right hand side.
Step-by-step explanation:
Given equation:-
(4x+9)²-144x = (4x-9)²
Equation can be re-written as:
(4x+9)²-(4x-9)² = 144x
Left side equation is of the form, (a+b)²-(a-b)²
Let us simplify the Left-hand side using the general form.
(a+b)²-(a-b)² = a²+b²+2ab - (a²+b²-2ab)
= a²+b²+2ab -a²-b²+2ab
=4ab
∴Left-hand side equation = 4 * 4x * 9
=144x.
∴ Left-hand side equation = Right-hand side equation.
Hence, proved.
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Answer:
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