Alexis B.

asked • 09/30/19

First square the binomial below, place it into perfect square trinomial form, and then subtract the trinomials.

(7b2 - 7) 2 - (2b2 - 11) 2

1 Expert Answer

By:

Natalie K. answered • 09/30/19

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(7b2 - 7)2 - (2b2 - 11)2 = (7b2 - 7)*(7b2 - 7) - (2b2 - 11)*(2b2 - 11) =


= ( 7b2 * 7b2 + 7b2 *(-7) + (-7) * 7b2 + (-7)*(-7) ) - ( 2b2 * 2b2 + 2b2 * (-11) + (-11) * 2b2 + (-11) * (-11) )


= (49b4 - 98b2 + 49) - (4b4 - 44b2 + 121)


= b4 (49-4) + b2 (-98 + 44) + (49 - 121) = 45b4 - 54b2 - 72

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