Expand the expression (3xy+5zx-4x^2)^2

 Exercise

$\left(3xy+5zx-4x^2\right)^2$

 

Expand the trinomial using the formula $\left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc$

$\left(3xy\right)^2+\left(5zx\right)^2+\left(-4x^2\right)^2+30x^2yz-24xyx^2-40zx\cdot x^2$

 

When multiplying exponents with same base you can add the exponents: $-24xyx^2$

$\left(3xy\right)^2+\left(5zx\right)^2+\left(-4x^2\right)^2+30x^2yz-24x^{3}y-40zx\cdot x^2$

 

When multiplying exponents with same base you can add the exponents: $-40zx\cdot x^2$

$\left(3xy\right)^2+\left(5zx\right)^2+\left(-4x^2\right)^2+30x^2yz-24x^{3}y-40zx^{3}$

 

The power of a product is equal to the product of it's factors raised to the same power

$9x^2y^2+25z^2x^2+\left(-4x^2\right)^2+30x^2yz-24x^{3}y-40zx^{3}$

$9x^2y^2+25z^2x^2+\left(-4x^2\right)^2+30x^2yz-24x^{3}y-40zx^{3}$

 Try other ways to solve this exercise

Can't find a method? Tell us so we can add it.