7. Expand each of the following expressions.
(a) (a + 1)(a -9) (b) (6-2)(b +7)
(c) (c - 5)(C-6) (d) (3d + 1)(5-20)
(e) (1 - f)(7f+6) (f) (4- 3h)(10-9h)
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Explanation:
a) (a+1)(a-9)
=a(a-9)1(a-9)
=a²-9a+a-9
=a²-8a-9
b) (6-2)(b+7)
=6(b-7)-2(b+7)
=6b-42-2b-14
=6b-2b-42-14
=4b-56
c)(c-5)(c-6)
=c(c-6)-5(c-6)
=c²-6c-5c+30
=c²-11c+30
d)(3d+1)(5-20)
=3d(5-20)+1(5-20)
=15d-60d+5-20
=-45-15
=-60
e)(1-f)(7f+6)
=1((7f+6)-f(7f+6)
=7f+6-7f²-6f
=7f-6f-7f²+6
=-13f-7f²+6
=-7f²-13f+6
f)(4-3h)(10-9h)
=4(10-9h)-3h(10-9h)
=40-36h-30h+27h²
=27h²-66h+40
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