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Answer:
x^2 -14x +49
( x-7)^2
Step-by-step explanation:
x^2 -14x
We are completing the square
Take the coefficient of x
-14
Divide by 2
-14/2 = -7
Square it
(-7)^2 = 49
Add it
x^2 -14x +49
Take the -7
( x-7)^2
Answer:
(3x + 1)²
Step-by-step explanation:
Given
9x² + 6x + 1 ← is a perfect square of the form
(ax + b)² = a²x² + 2abx + b²
Compare like terms to find a and b
a²x² = 9x² ⇒ a² = 9 ⇒ a =
= 3
b² = 1 ⇒ b =
= 1
and 2ab = 2 × 3 × 1 = 6
Thus
9x² + 6x + 1 = (3x + 1)²
Answer:

Step-by-step explanation:
Given
- 
The LCM of 4 and 5 is 20
= 
= 