Find the value of: x2 – 1/5 at x= -1.2. What is the value of x2 + y2 – 10 at x = 0 and y = 0?3. Find the product of 9a, 4ab and -2a.4. Simplify (a + b + c)(a + b - c).5. Using identities evaluate: 8.56 * 11.60.6. Using identities evaluate: (99)2.7. Simplify x(2x – 1) + 5 and find its value at x = -2.8. Evaluate the value of (95)2 using identities.
Question
Find the value of: x2 – 1/5 at x= -1.2. What is the value of x2 + y2 – 10 at x = 0 and y = 0?3. Find the product of 9a, 4ab and -2a.4. Simplify (a + b + c)(a + b - c).5. Using identities evaluate: 8.56 * 11.60.6. Using identities evaluate: (99)2.7. Simplify x(2x – 1) + 5 and find its value at x = -2.8. Evaluate the value of (95)2 using identities.
Solution
Sure, let's solve these problems one by one:
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Substitute x = -1.2 into the equation x^2 - 1/5. The result is (-1.2)^2 - 1/5 = 1.44 - 0.2 = 1.24.
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Substitute x = 0 and y = 0 into the equation x^2 + y^2 - 10. The result is 0^2 + 0^2 - 10 = -10.
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The product of 9a, 4ab, and -2a is 9a * 4ab * -2a = -72a^3b.
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Simplify (a + b + c)(a + b - c) = a^2 + b^2 - c^2 + ab + ac - bc + ab + ac + bc = a^2 + 2ab + 2ac + b^2.
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Using identities to evaluate 8.56 * 11.6, we can use the identity a*b = (a+b)^2 - (a-b)^2 / 4. Substituting a = 8.56 and b = 11.6, we get (20.16)^2 - (3.04)^2 / 4 = 99.2256.
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Using identities to evaluate (99)^2, we can use the identity a^2 = (a+b)(a-b) + b^2. Substituting a = 100 and b = 1, we get (100-1)(100+1) + 1 = 9801.
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Simplify x(2x – 1) + 5 = 2x^2 - x + 5. Substituting x = -2, we get 2*(-2)^2 - (-2) + 5 = 8 + 2 + 5 = 15.
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Evaluate the value of (95)^2 using identities. We can use the identity a^2 = (a+b)(a-b) + b^2. Substituting a = 100 and b = 5, we get (100-5)(100+5) + 5^2 = 9025.
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