Question

Question no 3 all my please

Answer 1

3)

a) a⁴ - b⁴

=> (a²)² - (b²)²

=> (a² - b²)(a² + b²)

[ By identity :- (a)² - (b)² = (a+b)(a-b) ]

=> (a + b)(a - b)(a² + b²)

b) x⁴ - 1

=> (x²)² - (1)²

=> (x² - 1)(x² + 1)

[ By identity :- (a)² - (b)² = (a+b)(a-b) ]

=> { (x)² - (1)² }(x² + 1)

=> (x - 1)(x + 1)(x² + 1)

c) m⁴ - 16n⁴

=> (m²)² - (4n²)²

=> (m² - 4n²)(m² + 4n²)

[ By identity :- (a)² - (b)² = (a+b)(a-b) ]

=> { (m)² - (2n)² }(m² + 4n²)

=> (m - 2n)(m + 2n)(m² + 4n²)

Hope it helped you...

Answer 2

Answer:

3.a) a^4 -b^4= (a²+b²)(a+b)(a-b)

b)x^4-1= x^4 -1^4= (x²+1)(x+1)(x-1)

c)m^4 -16n^4= m^4 -(2n)^4

=(m²+ 4n²)(m+2n)(m-2n)

Hope it helps u