= 2.4. Use the identity (x + a)(x + b) = x2 + (a + b)x + ab to find the following products: (a) (2x + 54)(2x + 36) (b) (4x + 5)(4x - 1)
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We use identities
(x+a)(x+b)=x2+(a+b)x+ab and x2−y2=(x+y)(x−y)
(i) (x+4)(x+10)
=x2+(4+10)x+(4)(10)
=x2+14x+40
(ii) (x+8)(x−10)
=x2+(8−10)+(8)(−10)
=x2−2x−80
(iii) (3x+4)(3x+5)
=(3x)2+(4−5)3x+(4)(−5)
=9x2−3x−20
(iv) (y2+23)(y2−23)
=(y2)2−(23)
Step-by-step explanation:
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