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(i) (x + 4)(x + 10) = x² + (4 + 10)x + 4 × 10 [∵ (x + a)(x + b) = x² + (a + b)x + ab ] = x² + 14x + 40
(ii) (x + 8)(x + -10) = x² + (8 - 10)x + 8 × (-10) [∵ (x + a)(x + b) = x² + (a + b)x + ab ] = x² - 2x - 80
(ii) (x + 8)(x + -10) = x² + (8 – 10)x + 8 × (-10) [∵ (x + a)(x + b) = x² + (a + b)x + ab ] = x² – 2x – 80
(iii) (3x + 4)(3x - 5) = (3x)² + (4 - 5)3x + 4 × (-5) [∵ (x + a)(x + b) = x² + (a + b)x + ab ] = 9x² - 3x - 20
(iii) (3x + 4)(3x – 5) = (3x)² + (4 – 5)3x + 4 × (-5) [∵ (x + a)(x + b) = x² + (a + b)x + ab ] = 9x² – 3x – 20
(iv) (y² + 3/2)(y² - 3/2) = (y²)² - (3/2)² [∵ (a + b)(a - b) = a² - b²] = y⁴ - 9/4
(iv) (y² + 3/2)(y² – 3/2) = (y²)² – (3/2)² [∵ (a + b)(a – b) = a² – b²] = y⁴ – 9/4
(v) (3 - 2x)(3 + 2x) = (3)² - (2x)² [∵ (a + b)(a - b) = a² - b²] = 9 - 4x²
(v) (3 – 2x)(3 + 2x) = (3)² – (2x)² [∵ (a + b)(a – b) = a² – b²] = 9 – 4x²
Use suitable identities to find the following products: (x + 4) (x + 10)
(i) (x + 4)(x + 10) = x² + (4 + 10)x + 4 × 10 [∵ (x + a)(x + b) = x² + (a + b)x + ab ] = x² + 14x + 40
(i) (x + 4)(x + 10)
See less= x² + (4 + 10)x + 4 × 10 [∵ (x + a)(x + b) = x² + (a + b)x + ab ]
= x² + 14x + 40
Use suitable identities to find the following products: (x + 8) (x – 10)
(ii) (x + 8)(x + -10) = x² + (8 - 10)x + 8 × (-10) [∵ (x + a)(x + b) = x² + (a + b)x + ab ] = x² - 2x - 80
(ii) (x + 8)(x + -10)
See less= x² + (8 – 10)x + 8 × (-10) [∵ (x + a)(x + b) = x² + (a + b)x + ab ]
= x² – 2x – 80
Use suitable identities to find the following products: (3x + 4) (3x – 5)
(iii) (3x + 4)(3x - 5) = (3x)² + (4 - 5)3x + 4 × (-5) [∵ (x + a)(x + b) = x² + (a + b)x + ab ] = 9x² - 3x - 20
(iii) (3x + 4)(3x – 5)
See less= (3x)² + (4 – 5)3x + 4 × (-5) [∵ (x + a)(x + b) = x² + (a + b)x + ab ]
= 9x² – 3x – 20
Use suitable identities to find the following products: (y²+3/2) (y²-3/2)
(iv) (y² + 3/2)(y² - 3/2) = (y²)² - (3/2)² [∵ (a + b)(a - b) = a² - b²] = y⁴ - 9/4
(iv) (y² + 3/2)(y² – 3/2)
See less= (y²)² – (3/2)² [∵ (a + b)(a – b) = a² – b²]
= y⁴ – 9/4
Use suitable identities to find the following products: (3 – 2x) (3 + 2x)
(v) (3 - 2x)(3 + 2x) = (3)² - (2x)² [∵ (a + b)(a - b) = a² - b²] = 9 - 4x²
(v) (3 – 2x)(3 + 2x)
See less= (3)² – (2x)² [∵ (a + b)(a – b) = a² – b²]
= 9 – 4x²