factorise 25 upon 4 x square
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Answered by
1
Explanation:
x4+x2+25
This can be written in the form,
⇒ (x2)2+2×x2×5+(5)2−9x2
⇒ [(x2)2+2×x2×5+(5)2]−(3x)2
⇒ (x2+5)2−(3x)2 [ Since, a2+2ab+b2=(a+b)2 ]
⇒ (x2+5+3x)(x2+5−3x) [ Since, a2−b2=(a+b)(a−b) ]
∴ The factors of x4+x2+25 are (x2+5+3x)(x2+5−3x)
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