Question

Factorise: 2x2 + 13xy - 24y2

Answer 1

Given expression which is to be factorized is $2x^{2}+13xy-24y^{2}$.

We can split the term $13xy$ by writing it as $16xy-3xy$.

We get $2x^{2} + 16xy - 3xy - 24y^{2}$.

Taking $2x$ common from the first two terms ($2x^{2} + 16xy$) and $3y$ common from the second two terms ($- 3xy - 24y^{2}$) we get $2x(x + 8y) - 3y(x + 8y)$.

Therefore, $(x + 8y)(2x - 3y)$ are the factors of the expression $2x^{2}+13xy-24y^{2}$.

Answer 2

Heya friend,

Here's your answer ✌

⏬⏬⏬

$2x^{2}+13xy-24y^{2}$

$2x^{2} + 16xy - 3xy - 24y^{2}$

$2x(x + 8y) - 3y(x + 8y)$

$(x + 8y)(2x - 3y)$

⏫⏫⏫

Hope it helps!

By: ᴀᴛʜᴜʟʏᴀ ❣