Question

plz answer this question.plz take a snapshot

Answer 1

24. x³ - 8x² + 17x - 10
= x³ - x² - 7x² + 7x + 10x - 10
= x²(x - 1) - 7x(x - 1) + 10(x - 1)
= (x² - 7x + 10)(x - 1)
= (x - 1){x² - 5x - 2x + 10}
= (x - 1){x(x - 5) - 2(x - 5)}
= (x - 1)(x - 2)(x - 5)

25. (2x + y)³ - (2x - y)³

we know, a³ - b³ = (a - b)(a² + b² + ab)

= {(2x + y) + (2x - y)}{(2x + y)² + (2x - y)² + (2x + y)(2x - y)}

= 4x(4x² + y² + 4xy + 4x² + y² - 4xy + 4x² - y²)
= 4x²(8x² + y²)