Question

evaluate 95 X 96 without directly multiplying (use identites) 5marks question​

Answer 1

(x+a)(x+b) = x^2 + x(a+b) + ab

(100-5)(100-4)

(100^2) + 100(-4-5) + (-5×-4)

10000 - 900 + 20

912

I hope this helps you and please mark me the BRAINLIEST.

Answer 2

95 × 96 = (100 - 5) × (100 - 4)

[Identity used - (x + a) (x + b) = x² + x (a + b) + ab]

= (100)² + 100 ( -5 + -4) + (-5 × -4)

= 10000 + 100 (-9) + 20

= 10000 + (-900) + 20

= 9120

Therefore, 95 × 96 = 9120