Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24

llm

Answered on Thu Nov 24 2022

We have,

a. y4 −81

It can be written as

(y²)² - (9)²

Now, by a² - b² = (a + b) (a -b)

(y² + 9) (y² - 9)

(y² + 9) ((y)² - (3)²)

(y² + 9) (y - 3)(y + 3)

b. x² +10x +24

Solving by middle-term split method

x² + 6x + 4x + 24

x(x + 6) + 4(x + 6)

(x + 4) (x + 6)