How do i Factor this expression 16x² plus 40x plus 25?

Answer 1

Times 16 times 25 = 400

now what times to 400 and adds to 40

list the things that add to 40=

5+35 = 40 but 5 times 35 is 175 so it doesn't work

10+30 = 40 but 10 times 30 is 300 so it doesn't work but going in the right direction

20 +20 = 40 and 20 times 20 is 400 so we found our factors

(16X+20) (16x+20) but wait they can be divided by 4?

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4 4 (Note if they can be divide by different numbers you can)

(4X+5)(4x+5) is the factor of it!