factor the following trinomials 16x^2+ 40xy+25y^2?

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factor the following trinomials 16x^2+ 40xy+25y^2?

2007-06-29 13:42:13 · 3 answers · asked by Anonymous in Education & Reference ➔ Homework Help

3 answers

16x² + 40xy + 25y²

(4x + 5y)²

(4x + 5y)(4x + 5y)
.

2007-06-29 13:48:55 · answer #1 · answered by Robert L 7 · 1⤊ 0⤋

This is a special product trinomial of the form
a^2+2ab+b^2=(a+b)^2.
Factor the ends: 16x^2 = (4x)^2 and 25y^2 = (5y)^2; so
16x^2+40xy+25y^2= (4x)^2+2(4x)(5y)+(5y)^2=(4x+5y)^2

2007-06-29 21:06:33 · answer #2 · answered by Linda O 1 · 0⤊ 0⤋

16x^2+ 40xy+25y^2
196+40xy+25y^2
2(98+20xy+12.5y^2)

=] or you can just keep it at 196+40xy+25^2 because nothing goes into those numbers evenly

2007-06-29 21:14:11 · answer #3 · answered by sarah 1 · 0⤊ 0⤋