Question

100x^2+20x+1 is complete square term ,​

Answer 1

Answer:

Yes, 100x² + 20x + 1 is a complete square term.

Step-by-step explanation:

We have,

100x² + 20x + 1

= (10x)² + 20x + (1²)

= (10x)² + 2(10x)(1) + (1²)

This is of the form, a² + 2ab + b²

And we know that,

a² + 2ab + b² = (a + b)²

Thus,

(10x)² + 2(10x)(1) + (1)² = (10x + 1)²

Hence,

100x² + 20x + 1 = (10x + 1)²

Thus,

100x² + 20x + 1 is a complete square term.

Hope it helped and believing you understood it........All the best