Question

solve 16y to the power 2 +80y +100 by factorisation

Answer 1

16y²+80y+100
= (4y)²+(10)²+(2×4y×10)
=(4y+10)(4y+10)

Answer 2

Heya User, Hope you are doing well...

Here is your Answer :


$given \: expression \: = > \: {16y}^{2} + 80y + 100 \\ \\ = > \: firstly \: factor \: out \: 4 \: from \: the \: expression \\ \\ = > \: 4( {4y}^{2} + 20y + 25) \\ \\ = > \: now \: factorise \: the \: expression \: by \: using \: the \: identity \: \\ > \: {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2} \\ \\ = > \: 4(( {2y)}^{2} + 2(2y)(5) + {5}^{2} ) \\ \\ = > \: 4( {2y + 5)}^{2}$


Hope it would help you