Math, asked by anamikaiyengar6705, 10 months ago

Show that : (4x+9)2 – 144x = (4x-9)2

Answers

Answered by kingsleychellakkumar
7

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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Answered by jitendradashari
0

Answer:

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