Question

Find the product of (y + 2

5

y

2

) and (5y - y

2

). Also, verify the result for

y=3.




plz give me answer step by step...
I will mark you in brainliest​

Answer 1

$\bold{ \red{APPROPRIATE \: QUESTION : }}$

Find the product

where,

$\tt (y + 25 {y}^{2} ) \: and \: (5y - {y}^{2} )$

Also verify the result for y=3

$\bold { \red{CLARIFICATION: }}$

First let's find the product

$\tt (y + 25 {y}^{2}) \times (5y - {y}^{2} )$

$\implies \tt5y(y + 25 {y}^{2} ) - {y}^{2} (y + 25 {y}^{2} )$

$\implies \tt5 {y}^{2} + 125 {y}^{3} - {y}^{3} - 25 {y}^{4}$

$\implies \tt5 {y}^{2} + 124 {y}^{3} - 25 {y}^{4}$

Where y=3,

$\implies \tt5 ({3})^{2} + 124({3})^{3}- 25 ({3})^{4}$

$\implies \tt5 \times 9+ 124 \times 27- 25 \times 81$

$\implies \tt 45+3348-2025$

$\implies \tt 3393 - 2025$

$\implies \tt 1368$

Now let's put the value y=3 in the given question for verification

$\tt (y + 25 {y}^{2}) \times (5y - {y}^{2} )$

$\implies \tt5y(y + 25 {y}^{2} ) - {y}^{2} (y + 25 {y}^{2} )$

$\implies \tt5(3)(3 + 25 ({3})^{2} ) - {3}^{2} (3+ 25 ({3})^{2} )$

$\implies \tt 15(3 + 25 \times 9) - 9(3+ 25 \times 9)$

$\implies \tt 15(3 + 225) - 9(3+ 225)$

$\implies \tt 15(228) - 9(228)$

$\implies \tt 3420 - 2052$

$\implies \tt 1368$