Question

Evaluate 25x² - 64ysqure or show 2.7bar in p/q
form
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Answer 1

Answer:

(I) (5x + 8y)(5x - b) , (ii) 2.7bar = 25/9.

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Step-by-step explanation:

$(i) {25x}^{2} - {64y}^{2} \\ = {25x}^{2} - {64y}^{2} \\ = {(5x)}^{2} - {(8y)}^{2} \\ ( {a}^{2} - {b}^{2} ) = (a + b) \: (a - b) \\ now \: here \: a = 5x \: and \: b \: = \: 8y$

${(5x)}^{2} - {(8y)}^{2} = (5x + 8y)(5x - b)$

$= (5x + 8y)(5x - b)$

(ii) is in image