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# If h(x) = 5x^2 + x, then which of the following is equal to h(a + b)

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
If h(x) = 5x^2 + x, then which of the following is equal to h(a + b)  [#permalink]

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27 Jul 2018, 00:14
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Difficulty:

5% (low)

Question Stats:

92% (00:45) correct 8% (00:34) wrong based on 38 sessions

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If $$h(x) = 5x^2 + x$$, then which of the following is equal to $$h(a + b)$$?

(A) $$5a^2 + 5b^2$$
(B) $$5a^3 + 5b^3$$
(C) $$5a^2 + 5b^2 + a + b$$
(D) $$5a^3 + 10ab + 5b^3$$
(E) $$5a^2 + 10ab + 5b^2 + a + b$$

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Re: If h(x) = 5x^2 + x, then which of the following is equal to h(a + b)  [#permalink]

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27 Jul 2018, 00:53
$$h(x) = 5x^2 + x$$

$$h(a+b) = 5(a+b)^2 + (a + b)$$

$$5(a^2 + 2ab + b^2) + a + b$$

$$5a^2 + 10ab + 5b^2 + a + b$$

Hence option E
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Re: If h(x) = 5x^2 + x, then which of the following is equal to h(a + b)  [#permalink]

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27 Jul 2018, 01:31
Bunuel wrote:
If $$h(x) = 5x^2 + x$$, then which of the following is equal to $$h(a + b)$$?

+1 for E.

h(x) = 5x^2 + x
h(a + b) = ?

Now ,
h(a+b) = 5*(a+b)^2 + (a+b)
= 5*( a^2+2*a*b+b^2 ) + a + b
= 5*a^2 + 10*a*b + 5*b^2 + a + b

Hence, E.
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Re: If h(x) = 5x^2 + x, then which of the following is equal to h(a + b)  [#permalink]

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27 Jul 2018, 04:03
h(x) = 5x^2+x
h(a+b) = 5(a+b)^2+a+b
= 5(a^2+2ab+b^2)+a+b
= 5a^2+10ab+5b^2+a+b

Hence IMO E
Re: If h(x) = 5x^2 + x, then which of the following is equal to h(a + b) &nbs [#permalink] 27 Jul 2018, 04:03
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