which equations are correct? select each correct answer. -6y^4(4y^2 + 2)=-24y^8 - 12y^4 -5a^4(2a^2 +…

which equations are correct? select each correct answer. -6y^4(4y^2 + 2)=-24y^8 - 12y^4 -5a^4(2a^2 + 4)=-10a^6 - 20a^4 -4x^2(2x^2 + 5)=-8x^4 - 20x^2 -4b^3(5b^2 + 3)=-20b^6 - 12b^3

which equations are correct? select each correct answer. -6y^4(4y^2 + 2)=-24y^8 - 12y^4 -5a^4(2a^2 + 4)=-10a^6 - 20a^4 -4x^2(2x^2 + 5)=-8x^4 - 20x^2 -4b^3(5b^2 + 3)=-20b^6 - 12b^3

Answer

Explanation:

Step1: Apply distributive property

The distributive property is (a(b + c)=ab+ac). For (-6y^{4}(4y^{2}+2)): (-6y^{4}\times4y^{2}+(-6y^{4})\times2=-24y^{4 + 2}-12y^{4}=-24y^{6}-12y^{4}\neq-24y^{8}-12y^{4})

Step2: Apply distributive property to (-5a^{4}(2a^{2}+4))

(-5a^{4}\times2a^{2}+(-5a^{4})\times4=-10a^{4 + 2}-20a^{4}=-10a^{6}-20a^{4})

Step3: Apply distributive property to (-4x^{2}(2x^{2}+5))

(-4x^{2}\times2x^{2}+(-4x^{2})\times5=-8x^{2+2}-20x^{2}=-8x^{4}-20x^{2})

Step4: Apply distributive property to (-4b^{3}(5b^{2}+3))

(-4b^{3}\times5b^{2}+(-4b^{3})\times3=-20b^{3 + 2}-12b^{3}=-20b^{5}-12b^{3}\neq-20b^{6}-12b^{3})

Answer:

-5a^{4}(2a^{2}+4)=-10a^{6}-20a^{4}, -4x^{2}(2x^{2}+5)=-8x^{4}-20x^{2}