Question

please answer i, iii, iv, v​

Answer 1

$(i)\\\\\begin {aligned}x^4-y^4&=(x^2+y^2)(x^2-y^2)\\\\&=(x^2+y^2)(x+y)(x-y)\end {aligned}\\\\\\(iii)\\\\\begin {aligned}l^2-(m-n)^2&=(l+(m-n))(l-(m-n))\\\\&=(l+m-n)(l-m+n)\end {aligned}\\\\\\(iv)\\\\\begin {aligned}49x^2-\dfrac {16}{25}&=(7x)^2-\left (\dfrac {4}{5}\right)^2\\\\&=\left (7x+\dfrac {4}{5}\right)\left (7x-\dfrac {4}{5}\right)\end {aligned}\\\\\\(v)\\\\\begin {aligned}x^4-2x^2y^2+y^4&=(x^2)^2-2x^2y^2+(y^2)^2\\\\&=(x^2-y^2)^2\\\\&=((x-y)(x+y))^2\\\\&=(x-y)^2(x+y)^2\end {aligned}$