ilikesquirtles
Answered

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100 points !

Please answer the questions in the picture as well as showing work. I will also award brainliest to whoever gets the answers correct first !

100 Points Please Answer The Questions In The Picture As Well As Showing Work I Will Also Award Brainliest To Whoever Gets The Answers Correct First class=

Sagot :

fieryanswererft

Answer:

  • Given Below.

Step-by-step explanation:

(a)

[tex]\left(-5y^2-9y-4\right)-\left(-2y^2-y+8\right)[/tex]

[tex]\left-5y^2-9y-4\right+\left2y^2+y-8\right)[/tex]

[tex]-3y^2 -8y -12[/tex]

(b)

[tex]\left(3x-2\right)\left(5x^2-7x+2\right)[/tex]

[tex]15x^3-21x^2 +6x - 10x^2 +12x - 4[/tex]

[tex]15x^3-31x^2+20x-4[/tex]

Answer:

Step-by-step explanation:

[tex](-5y^2-9y-4)-(-2y^2-y+8)[/tex]

To find the opposite of [tex]-2y^2-y+8[/tex], find the opposite of each term.

[tex]-5y^2-9y-4+2y2+y-8[/tex]

Combine [tex]-5y^2[/tex] and [tex]2y^2[/tex] to get [tex]-3y^2[/tex].

[tex]-3y^2-9y-4+y-8[/tex]

Combine -9y and y to get -8y.

[tex]-3y^2-8y-4-8[/tex]

Subtract 8 from -4 to get -12.

[tex]-3y^2-8y-12[/tex]

[tex](3x-2)(5x^2-7x+2)[/tex]

Use the distributive property to multiply [tex]3x-2[/tex] by [tex]5x^2-7x+2[/tex] and combine like terms.

[tex]15x^3-31x^2+20x-4[/tex]

[tex](x-1)(3x-2)(5x-2)[/tex]

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

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