Final answer to the problem
$f\left(x\right)=4x^{6}+\left(-3x^2\right)^2+49-12x^{5}+28x^3-42x^2$
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Apply the formula: $\left(a+b+c\right)^2$$=a^2+b^2+c^2+2ab+2ac+2bc$, where $a=2x^3$, $b=-3x^2$ and $c=7$
$f\left(x\right)=\left(2x^3\right)^2+\left(-3x^2\right)^2+7^2+2\cdot 2\cdot -3x^3x^2+2\cdot 2\cdot 7x^3+2\cdot -3\cdot 7x^2$
Learn how to solve expressions algébriques problems step by step online.
$f\left(x\right)=\left(2x^3\right)^2+\left(-3x^2\right)^2+7^2+2\cdot 2\cdot -3x^3x^2+2\cdot 2\cdot 7x^3+2\cdot -3\cdot 7x^2$
Learn how to solve expressions algébriques problems step by step online. f(x)=(2x^3-3x^2+7)^2. Apply the formula: \left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2ac+2bc, where a=2x^3, b=-3x^2 and c=7. Apply the formula: ab=ab, where ab=2\cdot 2\cdot -3x^3x^2, a=2 and b=2. Apply the formula: ab=ab, where ab=4\cdot -3x^3x^2, a=4 and b=-3. Apply the formula: ab=ab, where ab=2\cdot 2\cdot 7x^3, a=2 and b=2.
Final answer to the problem
$f\left(x\right)=4x^{6}+\left(-3x^2\right)^2+49-12x^{5}+28x^3-42x^2$
