Question 21 of 27intermediate🔧 ApplyNumerical4 marks
Compute these products using the suggested identity.
(i) 462 using Identity 1A for (a+b)2
(ii) 397×403 using Identity 1C for (a+b)(a−b)
(iii) 912 using Identity 1B for (a−b)2
(iv) 43×45 using Identity 1C for (a+b)(a−b)
(i)
Answer
2116
(ii)
Answer
159991
(iii)
Answer
8281
(iv)
Answer
1935
Explanation
(i) (40+6)2=1600+480+36=2116
(ii) (400−3)(400+3)=160000−9=159991
(iii) (100−9)2=10000−1800+81=8281
(iv) (44−1)(44+1)=1936−1=1935