Question

100x²–16x²+40 xy –25y²​

Answer 1

Answer:

$100 {x}^{2} - 16 {x}^{2} + 40xy - 25 {y}^{2} \\ \\ 100 {x}^{2} - (16 {x}^{2} - 40xy + 25{y}^{2} ) \\ \\ {100x}^{2} - ( \: \: {(4x)}^{2} - 2 \times 4x\times 5y + {(5y)}^{2} ) \\ \\ 100 {x}^{2} - {(4x - 5y)}^{2} \\ \\ {(10x)}^{2} - {(4x - 5y)}^{2} \\ \\ (10x + 4x - 5y)(10x - 4x + 5y)$