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Popular Algebra >

factor 16u^2+40u+25-9v^2

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Solution

factor 16u2+40u+25−9v2

Solution

(4u+5+3v)(4u+5−3v)
Solution steps
16u2+40u+25−9v2
Factor 16u2+40u+25:(4u+5)2
=(4u+5)2−9v2
Simplify 9v2:(3v)2
=(4u+5)2−(3v)2
Apply Difference of Two Squares Formula: x2−y2=(x+y)(x−y)(4u+5)2−(3v)2=((4u+5)+3v)((4u+5)−3v)=((4u+5)+3v)((4u+5)−3v)
Apply rule: (a)=a(4u+5)=4u+5=(4u+5+3v)(4u+5−3v)

Popular Examples

3=0.2m-7simplify sqrt(0.64)*5+1/8*sqrt(1600)5x^2-21x+4=0factor x^2+10xsimplify 1000^{2/3}64000^{1/3}

Frequently Asked Questions (FAQ)

  • What is factor 16u^2+40u+25-9v^2 ?

    The solution to factor 16u^2+40u+25-9v^2 is (4u+5+3v)(4u+5-3v)

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