Factorize expressions (ax + by)2 + (bx – ay)2
We have,
(ax + by)2 + (bx – ay)2
a2x2 + b2y2 + 2axby + b2x2 + a2y2 – 2axby
a2x2 + b2y2 + b2x2 + a2y2
By grouping similar terms we get,
a2x2 + a2y2 + b2y2 + b2x2
a2 (x2 + y2) + b2 (x2 + y2)
(a2 + b2) (x2 + y2)
Divide as directed (x4 – 81) ÷ (x3 + 3x2 + 9x + 27)
Divide as directed (3x3 – 6x2 – 24x) ÷ (x – 4) (x + 2)
Divide as directed 15(y + 3)(y2 – 16) ÷ 5(y2 – y – 12)
Factorise x2 + 2xy – 99y2
Factorise 6x2 – 5xy – 6y2