Express (x^2+8x+15) (x^2-8x+15) as a difference of two squares. Give proper explanation.
Answers
Answered by
53
Given Equation is (x^2 + 8x + 15) and (x^2 - 8x + 15).
The Equation can be written as,
((x^2 + 15) + 8x)((x^2 - 15) - 8x).
We know that (a + b)(a - b) = a^2 - b^2.
(x + 15)^2 - (8x)^2.
Hope this helps!
The Equation can be written as,
((x^2 + 15) + 8x)((x^2 - 15) - 8x).
We know that (a + b)(a - b) = a^2 - b^2.
(x + 15)^2 - (8x)^2.
Hope this helps!
Answered by
35
heya !
Given = (x^2 + 8x + 15) and (x^2 - 8x + 15).
It can be written as :-
(x^2 + 15) + 8x)(x^2 - 15) - 8x
Indentity = (a + b)(a - b) = a^2 - b^2.
(x + 15)^2 - (8x)^2
Given = (x^2 + 8x + 15) and (x^2 - 8x + 15).
It can be written as :-
(x^2 + 15) + 8x)(x^2 - 15) - 8x
Indentity = (a + b)(a - b) = a^2 - b^2.
(x + 15)^2 - (8x)^2
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