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Exercise

$100m^2n^4-25y^6$

Step-by-step Solution

Learn how to solve factor by difference of squares problems step by step online. Factor the expression 100m^2n^4-25y^6. Factor the polynomial 100m^2n^4-25y^6 by it's greatest common factor (GCF): 25. The power of a product is equal to the product of it's factors raised to the same power. Any expression multiplied by 1 is equal to itself. The power of a product is equal to the product of it's factors raised to the same power.
Factor the expression 100m^2n^4-25y^6

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Final answer to the exercise

$25\left(2mn^{2}+y^{3}\right)\left(2mn^{2}-y^{3}\right)$

Try other ways to solve this exercise

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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Similar Questions Solved

$x^2-121$

$a^6-3a^4+8a^3-4a^2$

$4x^2-49$

$25x^2y^4-121$

$x^2-25$

$x^2-225$

$49-x^2$

Main Topic: Factor by Difference of Squares

The difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2=(a+b)(a-b) in elementary algebra.

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