Question

ab(x^2 + y^2) + xy(a^2 + b^2)…
Factorise....​

Answer 1

$\sf\boxed{\underline{\huge{\rm{Question:}}}}$

Factorise: ab(x² + y²) + xy(a² + b²).

$\sf\boxed{\underline{\huge{\rm{Solution:}}}}$

We have, ab(x² + y²) + xy(a² + b²)

⠀⠀⠀⠀= abx² + aby² + a²xy + b²xy

⠀⠀⠀⠀= (abx² + a²xy) + (aby² + b²xy)

⠀⠀⠀⠀= ax(bx + ay) + by(ay + bx)

⠀⠀⠀⠀= ax(bx + ay) + by(bx + ay)

⠀⠀⠀⠀= (ax + by) (bx + ay).

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