Question

coefficient of x²in(2x²-5)(2-3x²​)

Answer 1

First simplify the expression

$(2x^{2} -5)(2-3x^{2} )$

Multiply

$4x^{2} -6x^{4}-10+15x^{2}$

$-6x^{4} +4x^{2} +15x^{2} -10$

$-6x^{4}+19x^{2} -10$

∴The coefficient of $x^{2}$ in $(2x^{2} -5)(2-3x^{2} )$ is 19