Find the following squares by suing the identities. (i) (b − 7)^2 (ii) (xy + 3z)^2 (iii) (6x^2 − 5y)^2
Find the following squares by suing the identities.
(i) (b − 7)2
(ii) (xy + 3z)2
(iii) (6x2 − 5y)2
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(i) (b − 7)2
= (b)2 − 2(b) (7) + (7)2 [(a − b)2 = a2 − 2ab + b2]
= b2 − 14b + 49
(ii) (xy + 3z)2
= (xy)2 + 2(xy) (3z) + (3z)2 [(a + b)2 = a2 + 2ab + b2]
= x2y2 + 6xyz + 9z2
(iii) (6x2 − 5y)2
= (6x2)2 − 2(6x2) (5y) + (5y)2 [(a − b)2 = a2 − 2ab + b2]
= 36x4 − 60x2y + 25y2
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