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Answers
Question 1
फर्स्ट क्वेश्चन का आंसर 3 ×64
ans 192
सेकंड का आंसर 64 * 12 आंसर 768
3) ans 1
Simplify and apply the law of exponents:
1. 3 * 4³
4³ is nothing but 4 × 4 × 4 i.e, we need to multiply 4 three times, so multiplying 4 three times we get 4 × 4 × 4 = 64
➙ 3 * 64
➙ 192 Ans.
2. 4x³ * 2x³
Here we multiply 4 with the 2 and then add the powers of the variables
➙ ( 4 × 2 )⁽³ ⁺ ³⁾
➙ 8⁶
➙ 512
3. -(9x)⁰
Any number raise to power 0 is 1.
➙ - ( 1 )
➙ -1
4. 6x⁴/2x⁷
➙ Refer the attachment ( 1 ) . Here we will divide each term of the polynomial by the monomial and then simplify.
5. ( 4x⁵y/16xy⁴ )³
➙ Refer the attachment ( 1 ).
Multiply the polynomials:
- Multiply the numeral coefficients.
- Multiply the literal coefficients.
- Multiply results of steps 1 and 2.
1. 6y(2y + 3)
➙ 12y² + 18y
2. (2a -1) (8a - 5)
➙ 2a (8a - 5) -1 (8a - 5)
➙ 16a² - 10a - 8a + 5
➙ 16a² - 18a + 5
3. (4p - 1)²
use identity :- (a - b) = a² + b² - 2ab
➙ (4p)² + 1² - 2 × 1 × 4p
➙ 16p² + 1 - 8p
4. (2n + 2) (6n + 1)
➙ 2n (6n + 1) +2 (6n + 1)
➙ 12n² + 2n + 12n + 2
➙ 12n² + 14n + 2
5. (7x - 6) (5x + 6)
➙ 7x (5x + 6) -6 (5x + 6)
➙ 35x² + 42x - 30x - 36
➙ 35x² + 12x - 36
Divide the polynomial:
- Division of monomial by another monomial = [Division of the numeral coefficients × Division of their literal coefficients]
1. - 9a³b²/3ab
➙ 3a²b
2. (18r⁵ + 36r⁴ + 27r³) ÷ 9r
- Divide each term of the polynomial by the nominal and then simplify
➙ 18r⁵/9r + 36r⁴/9r + 27r³/9r
➙ 2r⁴ + 4r³ + 3r²
3. (9n³ + n² + 3n)/9n
➙ Refer the attachment (2)
4. (30x³ + 2x² + 30x)/10r²
- We can just factorise it and so the coefficients can be reduced to, and we already know that the variables are different ( unlike ) so we can not divide them.
➙2[(15x³ + x² + 15x)/5r²]
5. (m² - 7m - 11) ÷ (m-8)
➙ Refer the attachment ( 3 )
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