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Mathematics
06.08.2022 18:33
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Find the measure of each segment. DE= EF=

Find the measure of each segment. DE=
EF=
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proutyhaylee
proutyhaylee
4,5(79 marks)

Given:

The equation is:

(2x+3y)(2x-3y)=4x^2+6y^2

To find:

The error in the given equation and correct it.

Solution:

We have,

(2x+3y)(2x-3y)=4x^2+6y^2

Taking left-hand side, we get

L.H.S.=(2x+3y)(2x-3y)

L.H.S.=(2x)^2-(3y)^2                 [\because a^2-b^2=(a-b)(a+b)]

L.H.S.=(2)^2(x)^2-(3)^2(y)^2       [\because (ab)^x=a^xb^x]

L.H.S.=4x^2-9y^2

It is not equal to right-hand side 4x^2+6y^2. In the right hand side, there must be a negative sign instead of positive sign.

Therefore, (2x+3y)(2x-3y)=4x^2-6y^2.

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