Factor 4x^2+23xy+15y^2

Math
4×2+23xy+15y2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅15=60 and whose sum is b=23.
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Reorder terms.
4×2+15y2+23xy
Reorder 15y2 and 23xy.
4×2+23xy+15y2
Factor 23 out of 23xy.
4×2+23(xy)+15y2
Rewrite 23 as 3 plus 20
4×2+(3+20)(xy)+15y2
Apply the distributive property.
4×2+3(xy)+20(xy)+15y2
Remove unnecessary parentheses.
4×2+3xy+20(xy)+15y2
Remove unnecessary parentheses.
4×2+3xy+20xy+15y2
4×2+3xy+20xy+15y2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(4×2+3xy)+20xy+15y2
Factor out the greatest common factor (GCF) from each group.
x(4x+3y)+5y(4x+3y)
x(4x+3y)+5y(4x+3y)
Factor the polynomial by factoring out the greatest common factor, 4x+3y.
(4x+3y)(x+5y)
Factor 4x^2+23xy+15y^2

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