Find the following product: (2 x^2-5 y^2 ) (x^2+3 y^2 )

Question

Find the following product:
$\left(2 x^2-5 y^2\right)\left(x^2+3 y^2\right)$

✓

Answer

$\left(2 x^2-5 y^2\right)\left(x^2+3 y^2\right)$
$= 2 x^2\left(x^2+3 y^2\right)-5 y^2\left(x^2+3 y^2\right)$
$= \left(2 x^2 \times x^2+2 x^2 \times 3 y^2\right)-\left(5 y^2 \times x^2+5 y^2 \times 3 y^2\right)$
$= 2 x^4+6 x^2 y^2-5 y^2 x^2-15 y^4$
$= 2 x^4+x^2 y^2-15 y^4$

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