Question

simplify (2x square-3y square) - (6 x square -+ 2y square )..​

Answer 1

Step-by-step explanation:

Correct option is

A

4x

2

+9y

2

+16z

2

+12xy+24yz+16zx

We solve the given expression (2x+3y+4z)

2

as shown below:

(2x+3y+4z)

2

=(2x)

2

+(3y)

2

+(4z)

2

+(2×2x×3y)+(2×3y×4z)+(2×4z×2x)

(∵(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca)

=4x

2

+9y

2

+16z

2

+12xy+24yz+16zx

Hence, (2x+3y+4z)

2

=4x

2

+9y

2

+16z

2

+12xy+24yz+16zx.

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Answer 2

(2x² - 3y²) - (6x² + 2y²)

= 2x² - 3y² - 6x² - 2y²
= 2x² - 6x² - 3y² - 2y²
= - 4x² - 5y²
= - (4x² + 5y²)

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