Question

Evaluate the following products.
(i)
(x2 + 3)(x2 + 4)
(iv) (y2 – 6) (y2 +7)​

Answer 1

Answer:

a . x4 +4x2 + 3x2 +12

x4 + 7x2 + 12

b. y4 +7y2 - 6y2 - 42

y4 +y2 - 42

Answer 2

1. (x2 + 3) (x2 + 4)

by using formula (x+a) (x+b) = x²+x(a+b) +ab

so, it will be:

(x2)²+x2(3+4) +3*4

=4x²+2x*7+12

=4x²+14x+12

now by middle splitting method:

=4x²+(8+6) x + 12

=4x² + 8x + 6x + 12

=4x(x+2) + 6(x+2)

=(4x+6) (x+2)

hope it will help you