Question

$16x {} {}^{2} - 24yz - 9y {}^{2} - 16z {}^{2}$
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Answer 1

Answer:

16x²-24yz-9y²-16z²

16x²-9y²-24yz-16z²

16x²-(9y²+24yz+16z²)

16x²-{(3y)²+2.3y.4z+(4z)²}

16x²-(3y+4z)²

(4x)²-(3y+4z)²

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

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Answer 2

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

Step-by-step explanation:

$16 {x}^{2} - 24yz - 9 {y}^{2} - 16 {z}^{2} \\ = 16 {x}^{2} - (9 {y}^{2} + 24yz + 16 {z}^{2}) \\ = {(4x)}^{2} - ( {(3y)}^{2} + 2(3y)(4z) + {(4z)}^{2}) \\ = {(4x)}^{2} - ( {3y +4z )}^{2} \\ = (4x + 3y + 4z)(4x - 3y - 4z)$