Question

Fractorise the following expression

Answer 1

${l}^{4} + 4 {l}^{2} {m}^{2} + 4 {m}^{4} \\ = {( {l}^{2} )}^{2} + 2 \times 2 \times {l}^{2} \times {m}^{2} + {(2 {m}^{2} )}^{2} \\ = {( {l}^{2} + 2{m}^{2}) }^{2}$
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Answer 2

Step-by-step explanation:

l^4+4(l^2)(m^2)+4(m^4)

= (l^2)^2+ 2 *(l^2)* [2(m^2)] + [2(m^2)]^2

Now it is in the form of "a^2+2ab+b^2" which is equal to (a+b)^2; where 'a'=(l^2) & 'b' = [2(m^2)]

So now it is :

{(l^2)+[2(m^2)]}^2

= {(l^2)+[2(m^2)]} * {(l^2)+[2(m^2)]} (these are the factors).

Sorry, because i cannot type powers properly in the keyboard so i kept brackets. Hope you understand  what I wrote.

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