Question

Express 1 + 10a + 25a as a perfect square and find its value if a=-1/5​

Answer 1

Answer:

There is a mistake in the question it should be 1 + 10a + 25a².

1 + 10a + 25a² can be expressed as a perfect square as (1 + 5a)²

Value when a = -1/5 is 0.

Step-by-step explanation:

1 + 10a + 25a²

= 1² + (2*5*a) + (5a)²

= (1 + 5a)² using the formula (a + b)² = a² + 2ab + b²

Now let f(a) = (1 + 5a)²

f(-1/5) = (1 + 5(-1/5))² = (1 - 1)² = 0

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Answer 2

Answer:

‐6

Step-by-step explanation:

1 +10×‐1/5+25×‐1/5

=1+(‐10/5)+(‐25/5)

=1‐2‐5

=1‐7

=‐6