Answer:
Yes it is a perfect square trinomial
Step-by-step explanation:
∵ The rule of the perfect square:
The first term has a square root
The last term has a square root
The middle term ÷ 2 = the √of first term × The √of last term
(x)² ± 2(x)(y) +(y)² = (x ± y)²
∵ [tex]16x^{2}-56xy^{2}+49y^{4}[/tex]
∵ [tex]\sqrt{16x^{2}}=4x[/tex]
∵ [tex]\sqrt{49y^{4}}=7y^{2}[/tex]
∵ 4x × 7y² × 2 = 56xy²
∴ [tex]16x^{2}-56xy^{2}+49y^{4} is a perfect square
∴ The factorization of it is (4x - 7y²)(4x - 7y²) = (4x - 7y²)²
