Question

i need help!!! please urgent and no SPAMS

Answer 1

Answer:- (a) (a-b)²- 9 = (a-b)²- 3² = (a-b- 3) (a-b+3)

(b) a⁴-16 = (a²)² - 4² = (a²- 4) (a²+ 4)

= (a²- 2²) (a²+4) = (a- 2) (a+2) (a²+ 4 )

(c) 16p⁴- q⁴ = {(4p²)²- (q²)²} = (4p²- q²) (4p²+ q²)

= {(2p)²-q²} (4p²+q²) = (2p-q) (2p+q) (4p²+q²)

(d) 81m⁴-n⁴ = (9m²)² - (n²)² = (9m²-n²) (9m²+n²)

= {(3m)²-n²} (9m²+n²) = (3m-n) (3m+n) (9m²+ n²)

(e) x⁴- 16y⁴ = (x²)² - (4y²)² = ( x²- 4y²) ( x²+ 4y²)

= {x²-(2y)²} (x²+4y²) = (x - 2y) (x +2y ) (x² + 4y²)

(f) a⁴ - b⁴ = (a²)² - (b²)² = (a²- b²) (a² + b²)

= (a - b) (a + b) (a² + b² )

(g) 16p⁴ - 81q⁴ = (4p²)² - (9q²)² = (4p²-9q²) (4p²+9q²)

= {(2p)² - (3q)²} (4p²+9q²) = (2p-3q )(2p+3)(4p²+9q²)

(h) m⁴-(m²-2n²)² = (m²)² - (m²- 2n²)²

= (m² - m² +2n²) ( m² + m² +2n²) = (2n²) (2m² - 2n²)

= 2 ( m²- n²) (2n²) = 4n² ( m²- n²)

HOPE IT HELPS YOU....