We start with the polynomial expression:
25v2+40v+16
Step 2: Factor the Polynomial
To factor the polynomial, we look for two identical binomials. The expression can be rewritten as:
(5v+4)2
Step 3: Verify the Factorization
To ensure the factorization is correct, we can expand (5v+4)2:
(5v+4)(5v+4)=25v2+20v+20v+16=25v2+40v+16
This confirms that the factorization is accurate.