Question

Subtract 4xy (x+y) from 5xy (x-y)​

Answer 1

Answer: -x^2y + 9xy^2

Step-by-step explanation:

4xy(x+y) 5xy(x+y)

=(4x^2y+4xy^2) - (5x^2y + 5xy^2)

after grouping and removing brackets

4x^2y - 5x^2y + 4xy^2 + 5xy^2

= -x^2y + 9xy^2

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Answer 2

Answer:

Given,

4xy(x + y) , 5xy(x - y)

To Find :-

Subtract it.

Solution :-

5xy(x - y) - 4xy (x + y) = ?

5xy(x - y) = 5xy(x) - 5xy(y)

$=( 5 \times x \times y \times x) - (5 \times x \times y \times y)$

$= 5 { x}^{2} y - 5x {y}^{2}$

4xy( x + y) = 4xy(x) + 4xy(y)

$= (4 \times x \times y \times x) + (4 \times x \times y \times y)$

$= 4 {x}^{2}y + 4x {y}^{2}$

5xy(x - y) - 4xy (x + y) =

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

$5 {x}^{2}y - 5x {y}^{2} - 4 {x}^{2}y - 4x {y}^{2}$

$5 {x}^{2}y - 4 {x}^{2}y - 5x {y}^{2} - 4x {y}^{2}$

${x}^{2}y - 9x {y}^{2}$

(or)

xy(x - 9y)