Question

factories: x³-y³+x-x²y³​

Answer 1

Answer:

Use suitable identities to find the following products:

(i) (x + 4)(x + 10),    (ii) (x + 8)(x – 10),    (iii) (3x + 4)(3x – 5),    (iv) (y² + 3/2)(y² - 3/2),    (v) (3 - 2x)(3 + 2x),

Solution :-

(i) (x + 4)(x + 10)

= x² + (4 + 10)x + 4 x 10 [(x + a)(x + b) = x² + (a + b)x + ab]

= x² + 14x + 40

(ii) (x + 8)(x – 10)

= x² + (8 - 10)x + 8 x (-10) [(x + a)(x + b) = x² + (a + b)x + ab]

= x² - 2x - 80

(iii) (3x + 4)(3x – 5)

= (3x)² + (4 - 5) 3x + 4 x (-5) [(x + a)(x + b) = x² + (a + b)x + ab]

= 9x² - 3x - 20