Advertisements
Advertisements
Question
Using identities, evaluate 1.05 × 9.5
Advertisements
Solution
1.05 × 9.5 = 1.05 × 0.95 × 10
= (1 + 0.05) (1− 0.05) ×10
= [(1)2 − (0.05)2] × 10
= [1 − 0.0025] × 10 [(a + b) (a − b) = a2 − b2]
= 0.9975 × 10 = 9.975
APPEARS IN
RELATED QUESTIONS
Find the following squares by suing the identities
(xy + 3z)2
Using identities, evaluate (5.2)2
Using identities, evaluate 78 × 82
Expand (5a + 6b)2
Factorise the following using suitable identity
y2 + 20y + 100
Factorise the following using suitable identity
36m2 + 60m + 25
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2ax + 1
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x3 + 2abx2 + b2x
The area of a circle is given by the expression πx2 + 6πx + 9π. Find the radius of the circle.
If a + b = 25 and a2 + b2 = 225, then find ab.
