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(Picture) MULTIPLYING MONOMIALS AND BINOMIALS

(Picture) MULTIPLYING MONOMIALS AND BINOMIALS-example-1

1 Answer

1 vote

Answer:

Second option: 81y^4 - 16x^2, the difference of squares

Explanation:

(9y^2-4x)(9y^2+4x) is a special product named difference of squares, then we can apply this formula:

(a-b)(a+b)=a^2-b^2, with a=9y^2 and b=4x, then:

(9y^2-4x)(9y^2+4x)=(9y^2)^2 - (4x)^2

(9y^2-4x)(9y^2+4x)=(9)^2 (y^2)^2 - (4)^2 (x)^2

(9y^2-4x)(9y^2+4x)=81y^(2*2) - 16x^2

(9y^2-4x)(9y^2+4x)=81y^4 - 16x^2


User Pablo Oliva
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