Question

Can someone please help

Answer 1

Yes it is a perfect square trinomial

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

∵
`16x^(2)-56xy^(2)+49y^(4)`

∵
`\sqrt{16x^(2)}=4x`

∵
`\sqrt{49y^(4)}=7y^(2)`

∵ 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