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Factor the following polynomials.

1. ab+bc+bd
2. 9xy+27x+36y
3. 4-3x^3y^3-27x^5y^5+81x^2y^2
4. 60mk+45m^3k^3+30m^4k^2
5. 11y^2+33y^4​


Sagot :

Answer:

1.b(a+c+d)

2.9(xy+3x+4y)

3.3x²y²(xy-9x³y³+27) -4

4.15mk(4+3m²k²+2m³k)

5.11y²(y+3y²)

Step-by-step explanation:

1.ab+bc+bd=b(a+c+d)

2.9xy+27x+36y

=9xy+(3)(9)x+(4)(9)(y)

=9(xy+3x+4y)

3.4-3x³y³-27x⁵y⁵+81x²y²

=4- (3)(x²)(x)(y²)(y)-(3)(9)(x²)(x³)(y²)(y³)+(3)(27)x²y²

=3x²y²(xy-9x³y³+27) -4

4. 60mk +45m³k³ +30m⁴ k²

=4x15mk+3x15m³k³ +2x15m⁴k²

= 15mk(4+3m²k²+2m³k)

5.11y²+33y⁴

=11(y²)+(11)(3)(y²)(y²)

=11y²(y+3y²)