shreyavinu30
shreyavinu30 shreyavinu30
  • 23-11-2021
  • Mathematics
contestada

Using the appropriate Algebraic identity evaluate the following:(4a - 5b)²​

Respuesta :

Аноним Аноним
  • 23-11-2021

Solution:

[tex](4a - 5b)^{2} \\ by \: \: \: using \: \: \: (x - y)^{2} = {x}^{2} - 2xy + {y}^{2} \\ = {(4a)}^{2} - 2(4a)(5b) + {(5b)}^{2} \\ = {16a}^{2} - 40ab + 25 {b}^{2} [/tex]

Answer:

[tex] {16a}^{2} - 40ab + {25b}^{2} [/tex]

Hope it helps.

Do comment if you have any query.

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voltrenbtw voltrenbtw
  • 23-11-2021
When there’s a power to the second outside of the parentheses, you multiply the entire equation by its self, so (4a - 5b)(4a-5b)=16a^2-40ab+25b^2
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