Expand the expression (x^4-2x^3x^2)^2

 Exercise

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

 

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

$x^{8}+\left(-2x^3\right)^2+x^{4}-4x^4x^3+2x^4x^2-4x^3x^2$

 

When multiplying exponents with same base we can add the exponents

$x^{8}+\left(-2x^3\right)^2+x^{4}-4x^{7}+2x^4x^2-4x^3x^2$

 

When multiplying exponents with same base we can add the exponents

$x^{8}+\left(-2x^3\right)^2+x^{4}-4x^{7}+2x^{6}-4x^3x^2$

 

When multiplying exponents with same base we can add the exponents

$x^{8}+\left(-2x^3\right)^2+x^{4}-4x^{7}+2x^{6}-4x^{5}$

$x^{8}+\left(-2x^3\right)^2+x^{4}-4x^{7}+2x^{6}-4x^{5}$

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