Question

factorise: 8ab²-18a³?factories ​

Answer 1

Answer:

• 8ab² - 18 a³ = 2a ( 2a + 3b ) ( 2a - 3b )

Given:

• Factorise 8ab² - 18 a³

Solution:

Given : 8ab² - 18 a³ . so now we have to Factorise this we get,

↝ 8ab² - 18 a³

↝2a ( 4a² - 9b² )

↝ 2a ( (2a²) - (3b²))

As we know that :

a²- b² = ( a + b ) ( a - b )

Now using this identity we get,

↝ 2a ( 2a + 3b ) ( 2a - 3b )

Hence,

• 8ab² - 18 a³ = 2a ( 2a + 3b ) ( 2a - 3b )

Explanation more :

• This is the polynomial
• polynomial is nothing but an expression that can be written a term or sum of differences
• Example : x³ + 2x³
• Types of polynomial : monomial, binomial, trinomials and polynomial
• Types of polynomials degree : constant polynomial, linear polynomial, Qudratic polynomial, cubic polynomial

Answer 2

Step-by-step explanation:

a²-b²+2bc-c² =a² - (b² -2bc +c²)

=a² - (b-c)²

=(a-(b-c))(a+(b-c))

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ [ using identity a²-b² =(a-b)(a+b) ]

= (a-b+c)(a+b-c)

hence.,a²-b²+2bc - c² = (a-b+c)(a+b-c)