Question

If a given trinomial is expressed as a² + 2ab + b² or a² - 2ab + b², then it is called perfect square of​

Answer 1

Answer:

I have given you an idea plz try to solve it by yourself.............plz mark me as brainliest

Step-by-step explanation:

Factor x2+ 6x + 9

Solution

We can rewrite the expression x2 + 6x + 9 in the form a2 + 2ab + b2 as;

x2+ 6x + 9 ⟹ (x)2 + 2 (x) (3) + (3)2

Applying the formula of a2 + 2ab + b2 = (a + b)2 to the expression gives;

= (x + 3)2

= (x + 3) (x + 3)

Example 2

Factor x2 + 8x + 16

Solution

Write the expression x2 + 8x + 16 as a2 + 2ab + b2

x2 + 8x + 16 ⟹ (x)2 + 2 (x) (4) + (4)2

Now we will apply the perfect square trinomial formula;

= (x + 4)2

= (x + 4) (x + 4)