Question

Please answer 125-8y^3

Answer 1

Answer:

(5-2y)(4y²+10y+25)

Step-by-step explanation:

125 - 8y³

(5)³ - (2y)³

(5-2y)(5²+ (2y)² + 5×2y) (since a³-b³=(a-b)(a²+b²+ab))

(5-2y)(25+4y²+10y)

(5-2y)(4y²+10y+25)

Answer 2

Step-by-step explanation:

$\bold\blue{QUESTION}$

FACTORISE 125-8y³

$\bold\red{ANSWER}$

125-8y³

=(5)³-(2y)³

=(5-2y)[5²+(2y)²+(5)(2y)].

{a³-b³=(a-b)(a²+b²+ab)}

SO ON FACTORISING,*125-8y³*

WE GET, (5-2y)[25+4y²+(10y)]

$\bold\green{ADDITIONAL\: INFORMATION}$

SOME IMPORTANT IDENTITIES

• a²+b²+2ab=(a+b)²

• a²+b²-2ab=(a-b)²

• a²-b²=(a+b)(a-b)

• a³+b³=(a+b)(a²+b²-ab)

• a³-b³=(a-b)(a²+b²+ab)

• a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)

• a³+b³+3ab(a+b)=(a+b)³

• a³-b³-3ab(a-b)=(a-b)³