a) \(x^4+324\)
\(=\left(x^2\right)^2+18^2+2.x^2.18-36x^2\)
\(=\left(x^2-18\right)^2-\left(6x\right)^2\)
\(=\left(x^2+18+6x\right)\left(x^2+18-6x\right)\)
b) \(64a^2+b^8\)
\(=\left(8a^2\right)^2+\left(b^4\right)^2+2.8a^2.4b^4-16a^2b^4\)
\(=\left(8a^2+b^4\right)^2-\left(ab^2\right)^2\)
\(=\left(8a^2+b^4+4ab^2\right)\left(8a^2+b^4-4ab^2\right)\)
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\(a.\)
\(x^4+324\)
\(=\left(x^2\right)^2+18^2\)
\(=\left(x^2+18\right)\left(x^2_{ }-18\right)\)
\(b.\)
\(64a^2+b^8\)
\(=\left(8a^2\right)+\left(b^3\right)^2\)
\(\left(8a-b^3\right)\left(8a+b^3\right)\)
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c) 2x2(x +1) + 4x(x +1); d) 2 x(y - 1) - 2
