Question

Please answer the questions in the attachment

Answer 1

Step-by-step explanation:

1a i) 97*103

=(100-3)(100+3)

=100²-3² [using the formula a²-b²=(a+b)(a-b)]

=10000-9

=9991 (Ans)

ii)983²-17²

=(983+17)(983-17)[using th formula a²+b²=(a+b) (a-b)]

=1000*966

=966000

b)(-4x³-13x²+5x+8)-(99x³-3x²-13x-41)

=-4x³-13x²+5x+8-99x³+3x²+13x+41

=-103x³-10x²+18x+49

c)2(x+y)²+3(x-y)²

=2(x²+y²+2xy)+3(x²+y²-2xy)

=2(25+2*12)+3(25-2*12)

=2(25+24)+3(25-24)

=2*49 + 3*1

=98+3

=101

2a)(2.5p+1.5q)²-(2.5p-1.5q)²

=(2.5p+1.5q+2.5p-1.5q)(2.5p+1.5q-2.5p+1.5q)

=(2.5p+2.5p)(1.5q+1.5q)

=5p*3q

=15pq

b)(x²-6)(x²+3)

={(-3)²-6}{(-3)²+3}

=(9-6)(9+3)

=3*12

=36

Hope it is clear....

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