What number should be added to the expression x^2+4x to change it into a perfect square trinomial?
2 answers:
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<u>Answer: </u>
The complete factorization of are 4(x-3y)(x+3y)
<u>Solution:</u>
Given Data:
Take common value in all the three term.so we take 4 as common term in the above expression
Now factorize the expression
Find the two numbers, whose product should be 9 and sum should be -6.
-3,-3 are the numbers which satisfy the above condition.
When we add -3-3=Sum is 6
Product of -3 -3= 9
-3 , -3 satisfies the condition.
So the expression will become as =
Take the common term
x(x-3y)+3y(x-3y)
(x-3y)(x+3y)
hence the complete factorization of are 4(x-3y)(x+3y)