Multiply and simplify: (3 √2 + √3)(√2 - 2 √3)

Q: Multiply: а. (х + 3)(х — 3) b. (5х + 7у)(5х (Sab? – 4a)(5ab² + 4a). с.

A:

Q: algebra

A: We will find the quotient.

Q: Perform the indicated operations and write the result in standard form, √-12(√-4 - √2)

A: Given , -12-4-2         =-12.-4--12.2         =-12-4--122         =48--29         =42x3--1.4x6…

Q: Divide: (2x3 – x² – 7) + (x – 2). 2x? + 3x + 6 x - 22r x? + Ox 7 2x3 - 4x2 3x2 + Ox 3x? бх бх — 7 бх…

A: We have, 2x3-x2-7÷x-2

Q: Divide and write your answer in standard form (27x3+36x²+36x)/(9x²)

A:

Q: Perform the indicated operations and write the result in standard form, (-6 - √-12) /48

A:

Q: Divide and express the result in standard form: 3/(4 + i)

A: The standard form of a complex number is a+ib . To divide and convert given complex number 34+i…

Q: √18x11y

A: First we factor 18 completely. And write x^11 as x^10*x

Q: Evaluate (2i)2 - √-4 + √-7i

A:

Q: Simplify. (√5+3)(√5-3)

A:

Q: Perform the indicated operations, and simplify.

A: Given: Let p=h2+1+1h2+1-1 To Find: To simplify the given expression

Q: Multiply and simplify(4t−2)(2t+3)+2t−4(4t-2)(2t+3)+2t-4

A: The given expression is,

Q: Perform the indicated operations and write the result in standard form, (-15 - √-18) /33

A: Given,          -15--1833

Q: (38r+ 61y) - (3r - 11y)

A:

Q: Simplify (10x – 15) +3x. (10x- 15) +3x= O

A: 1510x-15+3x=2x-3+3x=2x+3x-3=5x-3

Q: 17. Simplify the following into complex numbers of the form a + bi. (a) √ 2√8

A:

Q: Specify the quotient and remainder (x3 – 3x2 +5x -6) ÷ (x – 2)

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.