show the steps of converting " x⁴+2x²+9" into "(x²+2x+3)(x²-2x+3)"
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19
given,
x⁴+2x²+9=(x²)²+2x²+3²
=(x²)²+3²+2x²
=(x²+3)²-2*x²*3+2x². [a²+b²=(a+b)²-2ab]
=(x²+3)²-6x²+2x²
=(x²+3)²-4x²
=(x²+3)²-(2x)²
=(x²+2x+3)(x²-2x+3). [a²-b²=(a+b)(a-b)]
HOPE U UNDERSTAND
PLS MARK IT AS BRAINLIEST
x⁴+2x²+9=(x²)²+2x²+3²
=(x²)²+3²+2x²
=(x²+3)²-2*x²*3+2x². [a²+b²=(a+b)²-2ab]
=(x²+3)²-6x²+2x²
=(x²+3)²-4x²
=(x²+3)²-(2x)²
=(x²+2x+3)(x²-2x+3). [a²-b²=(a+b)(a-b)]
HOPE U UNDERSTAND
PLS MARK IT AS BRAINLIEST
nikki1231:
pls mark it as brainliest
pls.....
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Answered by
13
x⁴+2x²+9
=(x²)²+2x²+(3)²
=(x²)²+(3)²+2x²
a²+b²=(a+b)²-2ab
=(x²+3)²–2(x²)(3)+2x²
=(x²+3)²–6x²+2x²
=(x²+3)²–4x²
=(x²+3)²–(2x)²
a²–b²=(a+b)(a–b)
=(x²+3+2x)(x²+3–2x)
=(x²+2x+3)(x²-2x+3)
hope it helps you
please mark as brainliest answer
=(x²)²+2x²+(3)²
=(x²)²+(3)²+2x²
a²+b²=(a+b)²-2ab
=(x²+3)²–2(x²)(3)+2x²
=(x²+3)²–6x²+2x²
=(x²+3)²–4x²
=(x²+3)²–(2x)²
a²–b²=(a+b)(a–b)
=(x²+3+2x)(x²+3–2x)
=(x²+2x+3)(x²-2x+3)
hope it helps you
please mark as brainliest answer
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