Question

16x^2 - 24xy+9y^2- 25z^2

Answer 1

$<b>Heya mate. (^_-). Solution below.$
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♦ 16x² - 24xy + 9y² - 25z²


= [16x² - 24xy + 9y²] - 25z²

= [ (4x)² - 2 × 4x × 3y + (3y)² ] - (5z)²



♠ Using identity : a² - 2ab + b² = (a - b)²,


= (4x - 3y)² - (5z)²



♠ Using identity : a² - b² = (a + b)(a - b),

= (4x - 3y + 5z) (4x - 3y - 5z)


•°• Therefore, your answer is (4x - 3y + 5z)(4x - 3y - 5z)
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$<marquee>Thank you.</marquee>$

Answer 2

Here is your answer

$(16 {x}^{2} - 24xy + 9 {y}^{2} ) - 25 {z}^{2}$
${(4x - 3y)}^{2} - {(5z)}^{2}$
$(4x - 3y - 5z)(4x - 3y + 5z)$
Hope it will help you