Question

Simplify the following expression (4x+5y) ^2-((4x-5y)^2​

Answer 1

Answer:

$\huge\mathfrak{Given... }$

(4x+5y)$^2$-(4x-5y)$^2$

$\huge\mathfrak{Solution... }$

= (4x)$^2$+(5y)$^2$+4(4x)(5y)-[(4x)$^2$+(5y)$^2$-2(4x)(5y)]

= 16x$^2$+25y$^2$+40xy-[16x$^2$+25y$^2$-40xy]

= 16x$^2$+25y$^2$+40xy-16x$^2$-25y$^2$+40xy

= 40xy+40xy

= 80xy

Answer 2

Answer:

(

4

x

−

5

y

)

(

4

x

−

5

y

)

Expand

(

4

x

−

5

y

)

(

4

x

−

5

y

)

using the FOIL Method.

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4

x

(

4

x

)

+

4

x

(

−

5

y

)

−

5

y

(

4

x

)

−

5

y

(

−

5

y

)

Simplify and combine like terms.

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16

x

2

−

40

x

y

+

25

y

2