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# If a = 7 and b = -7, what is the value of 2a - 2b + b^2 ?

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If a = 7 and b = -7, what is the value of 2a - 2b + b^2 ?  [#permalink]

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08 Sep 2018, 09:25
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Difficulty:

5% (low)

Question Stats:

90% (00:36) correct 10% (00:04) wrong based on 34 sessions

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If $$a = 7$$ and $$b = -7$$, what is the value of $$2a - 2b + b^2$$ ?

(A) -49
(B) 21
(C) 49
(D) 63
(E) 77

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Re: If a = 7 and b = -7, what is the value of 2a - 2b + b^2 ?  [#permalink]

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08 Sep 2018, 09:31
Hasnain786 wrote:
If $$a = 7$$ and$$b = -7$$, what is the value of $$2a - 2b + b^2$$ ?

(A) -49
(B) 21
(C) 49
(D) 63
(E) 77

a=7, b=-7
$$2a - 2b + b^2$$ = 2x7-2x(-7)+(-7)^2 = 14+14+49 = 77
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Re: If a = 7 and b = -7, what is the value of 2a - 2b + b^2 ?  [#permalink]

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08 Sep 2018, 10:15
Hasnain786 wrote:
If $$a = 7$$ and$$b = -7$$, what is the value of $$2a - 2b + b^2$$ ?

(A) -49
(B) 21
(C) 49
(D) 63
(E) 77

$$2a - 2b + b^2$$

$$= 2a - b ( 2 - b)$$

$$= 2*7 + 7 ( 2 + 7)$$

$$= 14 + 7 *9$$

$$= 14 + 63$$

$$= 77$$, Answer must be (E)
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Re: If a = 7 and b = -7, what is the value of 2a - 2b + b^2 ?   [#permalink] 08 Sep 2018, 10:15
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