Verified answer

l)x^50(1+x)

m)4x²(2x²-3)

n)3x²(5x-4)

o)14x(x+3)

p)xy(x+y)

AJUDO õ/

l) x⁵⁰ + x⁵¹ = x⁵⁰(x + 1)

m) 8x⁶ - 12x³ = 8x³(x³ - 3/2)

n) 15x³ - 21x² = 15x²(x - 7/5)

o) 14x² + 42x = 14x(x + 3)

p) x²y + xy² => xy(x + y)

l) x^50 + x^51

x^50 + x^51 =

x^50 . ( x^(50 - 50) + x^(51 - 50) =

x^50 . ( x^0 + x^1 ) =

x^50 . ( 1 + x )

m) 8x^6 - 12x^3

8x^6 - 12x^3 =

4x^3 . ( 8x^6 / 4x^3 - 12x^3 / 4x^3 ) =

4x^3 . ( 2x^(6-3) - 3x^(3-3)) =

4x^3 . ( 2x^3 - 3x^0 ) =

4x^3 . ( 2x^3 - 3 )

n) 15x^8 - 21x^2

15x^8 - 21x^2 =

3x^2 (15^8 / 3x^2 - 21x^2 / 3x^2 ) =

3x^2 ( 5x^6 - 7x^0 ) =

3x^2 ( 5x^6 - 7 )

o) 14x^2 + 42x

14x^2 + 42x =

7x ( 14x^2 / 7x + 42x / 7x ) =

7x ( 14x + 6 )

p) x^2.y + x.y^2

x^2.y + x.y^2 =

x ( x^2.y / x + x.y^2 / x ) =

x ( x.y + y ) =

x [ y ( x.y / y + y^2 / y ) ] =

x [ y ( x + y ) ] =

( x.y ) . ( x + 1 )