1) factorise the following expressions using the common factor method. (a) 2x - 8 (B) 2x^2 - xy (c) 3y^2 - 18y (d) a^2b - ab^2 (e) 15z^2x - 6zx
Answers
Solution :-
(a)
Given expression is 2x-8
=(2×x)-(2×4)
= 2(x-4)
Therefore, 2x-8 = 2(x-4)
--------------------------------------------------------
(b)
Given expression is 2x²-xy
=(2×x×x)-(x×y)
= x(2x-y)
Therefore, 2x²-xy = x(2x-y)
-------------------------------------------------------
(c)
Given expression is 3y²-18y
=(3×y×y)-(3×6×y)
= 3×y(y-6)
= 3y(y-6)
Therefore, 3y²-18y = 3y(y-6)
------------------------------------------------------
(d)
Given expression is a²b-ab²
=(a×a×b)-(a×b×b)
= (a×b)(a-b)
= ab(a-b)
Therefore, a²b-ab² = ab(a-b)
-----------------------------------------------------
(e)
Given expression is 15z²x -6zx
=(3×5×z×z×x)-(3×2×z×x)
= (3×z×x)(5×z-2)
= 3zx (5z -2)
Therefore, 15z²x-6zx = 3zx ( 5z-2)
-----------------------------------------------------
Used Method:-
→ Common factor Method
Answer:
(a)2x_8
soln= 2×x (2×4)