Maths-
General
Easy

Question

Simplify -6 + 4a2 + 2b2 - 7xz - 3xz + 4a2 - 5b2 - 2.

hintHint:

Group the like terms.
○        Like terms are those whose coefficients are the same.
○        Perform basic arithmetic operations on like terms.

The correct answer is: Hence, the other term is 8a2 - 3b2 - 10xz - 8.


    Answer:
    • Step by step explanation:
    ○        Given:
    Expression: -6 + 4a2 + 2b2 - 7xz - 3xz + 4a2 - 5b2 - 2.
    ○        Step 1:
    ○        Group like terms.

                          rightwards double arrow-6 + 4a2 + 2b2 - 7xz - 3xz + 4a2 - 5b2 - 2

                          rightwards double arrow( -6 - 2) + (4a2 + 4a2) - (7xz + 3xz) + (2b2 - 5b2 )

                          rightwards double arrow( -8) + (8a2) - (10xz ) + (- 3b2 )

                          rightwards double arrow 8a2 - 3b2 - 10xz - 8

    • Final Answer:
    Hence, the other term is 8a2 - 3b2 - 10xz - 8.

    Related Questions to study

    General
    Maths-

    open parentheses 4 x squared plus 2 x minus 3 close parentheses plus open parentheses 3 x squared plus 6 close parentheses

    open parentheses 4 x squared plus 2 x minus 3 close parentheses plus open parentheses 3 x squared plus 6 close parentheses

    Maths-General
    General
    Maths-

    The coordinate A=(0,2) lies on a straight line. The gradient of the line is 5 . Using this information, state the equation of the straight line.

    The coordinate A=(0,2) lies on a straight line. The gradient of the line is 5 . Using this information, state the equation of the straight line.

    Maths-General
    General
    Maths-

    Combine like terms and write the given polynomial in the standard form.
    open parentheses negative 2 x squared plus 5 x minus 7 close parentheses plus left parenthesis 3 x plus 7 right parenthesis

    Combine like terms and write the given polynomial in the standard form.
    open parentheses negative 2 x squared plus 5 x minus 7 close parentheses plus left parenthesis 3 x plus 7 right parenthesis

    Maths-General
    parallel
    General
    Maths-

    Simplify. Write each answer in its standard form.
    open parentheses 3 x squared plus 2 x close parentheses plus left parenthesis negative x plus 9 right parenthesis

    Simplify. Write each answer in its standard form.
    open parentheses 3 x squared plus 2 x close parentheses plus left parenthesis negative x plus 9 right parenthesis

    Maths-General
    General
    Maths-

    Subtract 12a +3b-c from the sum of 9a+4b-5c and 3a-6b+4c

    Subtract 12a +3b-c from the sum of 9a+4b-5c and 3a-6b+4c

    Maths-General
    General
    Maths-

    Given that the coordinate (3, 4) lies on the line y = 3x + c calculate the y-intercept of the straight line.

    Given that the coordinate (3, 4) lies on the line y = 3x + c calculate the y-intercept of the straight line.

    Maths-General
    parallel
    General
    Maths-

    Combine like terms and write the given polynomial in the standard form.
    4 x squared minus 3 x minus x squared plus 3 x

    Combine like terms and write the given polynomial in the standard form.
    4 x squared minus 3 x minus x squared plus 3 x

    Maths-General
    General
    Maths-

    Rewrite the polynomial in the standard form.
    2 y minus 3 plus 8 y squared

    Rewrite the polynomial in the standard form.
    2 y minus 3 plus 8 y squared

    Maths-General
    General
    Maths-

    How much should 3x2 -5xy +7y2 +3 be increased to get 5x2-7xy-3y4+3x

    How much should 3x2 -5xy +7y2 +3 be increased to get 5x2-7xy-3y4+3x

    Maths-General
    parallel
    General
    Maths-

    Rewrite the polynomial in the standard form.
    7 minus 3 x cubed plus 6 x squared

    Rewrite the polynomial in the standard form.
    7 minus 3 x cubed plus 6 x squared

    Maths-General
    General
    Maths-

    State the gradient and y-intercept of the line y = -3x + 8.

    State the gradient and y-intercept of the line y = -3x + 8.

    Maths-General
    General
    Maths-

    In the standard form of a polynomial, the terms are written in ______order of their degree.

    In the standard form of a polynomial, the terms are written in ______order of their degree.

    Maths-General
    parallel
    General
    Maths-

    Identify a binomial.

    Identify a binomial.

    Maths-General
    General
    Maths-

    What must be added to 5y2+3y + 1 to get 3y3 -7y2+8

    What must be added to 5y2+3y + 1 to get 3y3 -7y2+8

    Maths-General
    General
    Maths-

    Find the value of the y-intercept in the equation 3x-y+5=0.

    Find the value of the y-intercept in the equation 3x-y+5=0.

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.