Question

Factorise the polynomial
ax square+ bx square +ay square + by square

Answer 1

$a {x}^{2} + b {x}^{2} + a {y}^{2} + b {y}^{2} \\ = {x}^{2} (a + b) + {y}^{2} (a + b) \\ = (a + b)( {x}^{2} + {y}^{2} )$