Question

4. Answer the following questions
c) Subtract x4 + y3 + 3x2y2 – 7xy3 from x3 + y4 + 3x2y2 – xy3​

Answer 1

Answer:

We have,

x

4

+2x

3

y−2xy

3

−y

4

=x

4

−y

4

+2x

3

y−2xy

3

=(x

2

)

2

−(y

2

)

2

+2xy(x

2

−y

2

)

=(x

2

−y

2

)(x

2

+y

2

)+2xy(x

2

−y

2

)

=(x

2

−y

2

)(x

2

+y

2

+2xy)

=(x

2

−y

2

)(x+y)

2

=(x+y)(x−y)(x+y)

2

=(x+y)

3

(x−y)

Hence, this is the answer.

Answer 2

Question ⤵️

4. Answer the following questions

c) Subtract x4 + y3 + 3x2y2 – 7xy3 from x3 + y4 + 3x2y2 – xy3.

Answer ⤵️

$➱( {x}^{4} + {y}^{4} + {3 {x}^{2} } {y}^{2} - {xy}^{3} ) - ( {x}^{3} {y}^{3} + 3 {x}^{2} {y}^{2} - 7 {xy}^{3}$

$➱ \: {x}^{4} + {y}^{4} + 3 {x}^{2} {y}^{2} - {xy}^{3} - {x}^{3} {y}^{2} - 3 {x}^{2} {y}^{2} + 7 {xy}^{3}$

Collecting like terms,

$➱ {x}^{4} + {y}^{4} + 3 {x}^{2} {y}^{2} - 3 {x}^{2} {y }^{2} - {x}^{3} {y}^{3} - {xy}^{3} + 7 {xy}^{3}$

$➱ {x}^{4} + {y}^{4} - {x}^{3} {y}^{3} + {6xy}^{3}$

Hope it helps you ✌️

Step-by-step explanation:

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