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2 years ago

5

Which polynomial is a perfect square trinomial?

1 answer:

Zigmanuir [339]2 years ago

8 0

A polynomial is a perfect square trinomial if in form

a^2x^2-2ab+b^2

look at each

we can eliminate A and B since we have -b^2 not +b^2

look at the rest

C. 5^2b-3*5*b+3^2
nope

D. 4^2x^2-2*4*3x+3^3
yes

answe is D (factors to (4x-9)^2)

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Help please asap just the answers

Stella [2.4K]

$\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

$\huge\underline{\sf{\red{Problem:}}}$

7.) Detemine the value of $\sf{ {3a}^{2} -b.}$

$\huge\underline{\sf{\red{Given:}}}$

$\quad\quad\quad\quad\sf{a = 2}$

$\quad\quad\quad\quad\sf{b = - 1}$

$\quad\quad\quad\quad\sf{c = - 3}$

$\huge\underline{\sf{\red{Solution:}}}$

$\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}$

$\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}$

$\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}$

$\quad \quad \quad \quad \sf{⟶12-( - 1)}$

$\quad \quad \quad \quad \sf{⟶12 + 1 }$

$\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}$

$\huge\underline{\sf{\red{Answer:}}}$

$\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}$

8.) Find the value of $\sf{ {a}^{3} {b}^{3} - abc.}$

$\huge\underline{\sf{\red{Solution:}}}$

$\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}$

$\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}$

$\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}$

$\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}$

$\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}$

$\huge\underline{\sf{\red{Answer:}}}$

$\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}$

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#CarryOnLearning

$\sf{\red{✍︎ C.Rose❀}}$

4 0

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Marat540 [252]

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