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

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New post 27 Jul 2018, 01:14
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A
B
C
D
E

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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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New post 27 Jul 2018, 01:53
\(h(x) = 5x^2 + x\)

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

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

\(5a^2 + 10ab + 5b^2 + a + b\)

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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New post 27 Jul 2018, 02:31
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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New post 27 Jul 2018, 05:03
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
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Re: If h(x) = 5x^2 + x, then which of the following is equal to h(a + b) &nbs [#permalink] 27 Jul 2018, 05:03
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