Question

(3m+4n-5k) ²
Plz tell me the Answer
Plz I would like to prefer a image ​

Answer 1

Step-by-step explanation:

$\colorbox{aqua}{greetings}$

Your question:

$(3m + 4n - 5k {)}^{2}$

Your answer:

$= (3 {m)}^{2} + (4n {)}^{2} + ( - 5k {)}^{2} + 2 \times 3m \times 4n + 2 \times (4n) \times ( - 5k) + 2 \times ( - 5k) \times 3m$

[ squaring and multiplying ]

$= 9 {m}^{2} + 1 6{n}^{2} + 25 {k}^{2} + 24mn - 40nk - 30km$

$\colorbox{lime}{your \: final \: answer}$

${9m}^{2} + 16 {n}^{2} + 25 {k}^{2} + 24mn - 40n k- 30km$

Answer 2

Answer:

Rearrange terms

(-5k+ 3m+ 4n)^2

Expand the square

(-5k+ 3m+ 4n)(-5k+ 3m+ 4n)

Distribute:

-5k(- 5k+ 3m+ 4n)+ 3m(-5k+ 3m+ 4n)+ 4n(-5k+ 3m+ 4n)

25k^2- 15km- 20kn+ 3m(-5k+ 3m+ 4n)+ 4n(-5k+ 3m+ 4n)

25k^2- 15km- 20kn- 15km+ 9m^2+ 12mn+ 4n(-5k+ 3m+ 4n)

25k^2- 15km- 20kn- 15km+ 9m^2+ 12mn- 20kn+ 12mn+ 16n^2

25k^2- 30km- 20kn- 15km+ 9m^2+ 12mn- 20kn+ 12mn+ 16n^2

25k^2- 30km- 20kn- 40kn+ 9m^2+ 24mn+ 16n^2

Solution

25k^2- 30km- 20kn- 40kn+ 9m^2+ 24mn+ 16n^2