Question

x²/4-16z² factories answer is 1/4(x+8z)(x-8z)​

Answer 1

Answer:

Question:

Factorise: x^2/4 - 16z^2.

Solution:

=> x^2/4 - 16z^2

=> (x/2)^2 - (4z)^2

Note: a^2 - b^2 = (a+b)(a-b)

Thus, applying the above formula,

we have;

=> {(x/2) + 4z}•{(x/2) - 4z}

=> {(x+8z)/2}•{(x-8z)/2}

=> (1/4)•(x+8z)(x-8z)

Thus, factorised form of the given polynomial is (1/4)•(x+8z)(x-8z).

Answer 2

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