Multiply the binomials.(i) (2x + 5) and (4x − 3) (ii) (y − 8) and

1.	Multiply the binomials.(i) (2x + 5) and (4x − 3) (ii) (y − 8) and (3y − 4)
Answer» (i) (2x + 5) × (4x − 3) = 2x × (4x − 3) + 5 × (4x − 3) = 8x²− 6x + 20x − 15 = 8x² + 14x −15 (By adding like terms) (ii) (y − 8) × (3y − 4) = y × (3y − 4) − 8 × (3y − 4) = 3y² − 4y − 24y + 32 = 3y² − 28y + 32 (By adding like terms)

Multiply the binomials.(i) (2x + 5) and (4x − 3) (ii) (y − 8) and (3y − 4)

Answer»

(i) (2x + 5) × (4x − 3)

= 2x × (4x − 3) + 5 × (4x − 3)

= 8x²− 6x + 20x − 15

= 8x² + 14x −15 (By adding like terms)

(ii) (y − 8) × (3y − 4)

= y × (3y − 4) − 8 × (3y − 4)

= 3y² − 4y − 24y + 32

= 3y² − 28y + 32 (By adding like terms)