Solve the product (x^2-4x+13)(x^2-4x+13)(x^2-4x+13)

 Exercise

$\left(x^2-4x+13\right)\left(x^2-4x+13\right)\left(x^2-4x+13\right)$

 

When multiplying two powers that have the same base ($x^2-4x+13$), you can add the exponents

$\left(x^2-4x+13\right)^2\left(x^2-4x+13\right)$

 

When multiplying exponents with same base you can add the exponents: $\left(x^2-4x+13\right)^2\left(x^2-4x+13\right)$

$\left(x^2-4x+13\right)^{3}$

 

Expand the cube of a trinomial

$x^{6}-12x^{4}x+39x^{4}+\left(-4x\right)^3+3x^2\left(-4x\right)^2+39\left(-4x\right)^2+2197+507x^2-2028x-312x^2x$

 

When multiplying exponents with same base you can add the exponents: $-12x^{4}x$

$x^{6}-12x^{5}+39x^{4}+\left(-4x\right)^3+3x^2\left(-4x\right)^2+39\left(-4x\right)^2+2197+507x^2-2028x-312x^2x$

 

When multiplying exponents with same base you can add the exponents: $-312x^2x$

$x^{6}-12x^{5}+39x^{4}+\left(-4x\right)^3+3x^2\left(-4x\right)^2+39\left(-4x\right)^2+2197+507x^2-2028x-312x^{3}$

$x^{6}-12x^{5}+39x^{4}+\left(-4x\right)^3+3x^2\left(-4x\right)^2+39\left(-4x\right)^2+2197+507x^2-2028x-312x^{3}$

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