Question

2 X square + 13 x y - 24ysquare​

Answer 1

Correction : Factorise   2x² + 13xy - 24y²

Solution

$\implies2\:x^2+13\:xy-24\:y^2\\\\=2\:x^2+16\:xy-3\:xy-24\:y^2\\\\=2x(x+8\:y)-3y(x+8\:y)\\\\=(2x-3y)(x+8y)$

Extra Information

Identity

An identity is an equality which is true for all values of the variables.

Some Important Identities

$\blacksquare\:(a+b)^2=a^2+2ab+b^2.\\\\\blacksquare\:(a-b)^2=a^2-2ab+b^2\\\\\blacksquare\:(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca.\\\\\blacksquare\:(a+b-c)^2=a^2+b^2+c^2+2ab-2bc-2ca.\\\\\blacksquare\:(a-b+c)^2=a^2+b^2+c^2-2ab-2bc+2ca.\\\\\blacksquare\:(a+b)^3=a^3+b^3+3ab\:(a+b)\\\\\blacksquare\:a^3-b^3=(a-b)^3+3ab\:(a-b)\\\\\blacksquare\:a^3+b^3=(a+b)^3-3ab\:(a+b).\\\\\blacksquare\:a^2-b^2=(a+b)\:(a-b).\\\\\blacksquare\:(x+a)\:(x-b)=x^2+(a-b)x-ab.$