Question

1. Use suitable identities to find the following products:

(1) (x + 4) (x + 10)

(2) (x + 8) (x – 10)

(3) (3x + 4)(3x - 5)

(4) (y²+3/2)(y²-3/2)

(5) (3 – 2x) (3 + 2x)
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Answer 1

Answer:

Step-by-step explanation:

✴ ( x + 4) (x + 10)

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

=) x^2 + (4 + 10)x + (4)(10)

=) x^2 + 14x + 40

✴ (x + 8)(x - 10)

Using the identity (x + a)(x + b) = x^2 + (a + b)x + ab

=) x^2 + (8 +(-10))x + (8)(-10)

=) x^2 + (-2)x - 80

=) x^2 - 2x - 80

✴ (3x + 4)(3x - 5)

=) (3x)^2 + (4 + (-5))3x + (4)(-5)

=) 9x^2 - 3x - 20

✴ (y^2 + 3/2)(y^2 - 3/2)

Using (a+b)(a-b) = a^2 - b^2

=) (y^2)^2 - (3/2)^2

=) y^4 - 9/4

✴ (3 - 2x)(3 + 2x)

Using (a +b)(a-b) = a^2 - b^2

=) (3)^2 - (2x)^2

=) 9 - 4x^2

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