Question

Use suitable identities to find the following products:

(iv) (y^2 + 2/3) (y^2-3/2)
(v) (3-26) (3+2x)​

Answer 1

1 QUESTION :-

★ Use suitable identities to find the product of (y² + 3/2)(y² - 3/2).

GIVEN :-

• (y² + 2/3)(y² - 3/2).

TO FIND :-

• The product of (y² + 3/2)(y² - 3/2).

SOLUTION :-

→ (y² + 3/2)(y² - 3/2).

★ Using identity :- (a + b)(a - b) = a² - b².

→ (y²)² - (3/2)²

→ y⁴ - 9/4

Hence the answer of the first question is y⁴ - 9/4.

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2 QUESTION :-

★ Use suitable identities to find the product of (3 - 2x)(3 + 2x)

GIVEN :-

• (3 - 2x)(3 + 2x)

TO FIND :-

• The product of (3 - 2x)(3 + 2x).

SOLUTION :-

→ (3 - 2x)(3 + 2x)

★ Using identity :- (a + b)(a - b) = a² - b².

→ (3)² - (2x)²

→ 9 - 4x².

Hence the answer of the second question is 9 - 4x².